What about painting the cabs a cream color to tie in the floor and Corian on the island since you aren't changing those...the floor will sort of disappear instead of standing out against white cabs. I don't think you would need to change the built ins...they are far enough away and would provide contrast. Then maybe look for a granite with cream, black, gray. A cream BS with black and gray accents would tie it all together or you can bring in another color for interest in the granite or BS such as green. Good luck and post pics when you're done.

That stained trim is MUCH too nice to paint! Stained trim is a big upgrade in cost from painted trim because it has to be clear and of a stainable wood. Painted trim can even be inexpensive MDF, so it's a lot cheaper. Think very carefully about putting paint on top of such a valuable asset. Once you do it, you can't go back.

Here's a copy of a post I did for another poster who was having a pro paint her cabinets. You would need to do all of the same basic steps were you to DIY either the cabinets or the trim.
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Here is how I would expect a pro to spray paint kitchen cabinets. A brush painted job would differ slightly in that you wouldn't hang the doors to paint. You'd place them on a work table or easel instead. It's time intensive work, and should take 7-14 days to accomplish completely and cost between 3K-7K depending on kitchen size and amount of detail in cabinets.

Remove doors and drawer fronts.
Remove hinges and hardware.
Clean with TSP (tri-sodium phosphate)
Rinse and let dry.
Scrape any loose finish.
Fill any damaged spots or hardware holes that won't be reused.
Sand fill smooth.
Scuff sand the rest.
Tack off dust.
Hang in dust free paint booth with wires through hardware points.
Tack off dust again.
Spray with alkyd based primer.
Scuff sand again.
Tack off dust.
Spray with second coat of primer.
Spray with first finish coat of latex enamel.
Spray with second coat of latex.
If glazing is to occur, that is next.
Spray with conversion varnish.
(If being brush painted, this step is typically skipped.)

Add more molding or decorative details to boxes, filling nail holes and sanding smooth.

Repeat prep process with face frames and exposed cabinet sides using plastic to create a spray booth on site. If interiors are to be done, they are done before face frames and sides. Interiors are difficult, and add both time and expense to the job.

Allow everything to fully cure.
Clean hinges and hardware and clear coat if you're keeping the old hardware.
Install new (or old) hinges and hardware.
Re-install doors and drawers and adjust for proper clearances.

If you are receiving a job without this amount of effort, then you are not receiving a quality professional job.

I think your kitchen can very easily look just like your inspiration! It has great bones. As far as your family room...I have to respectfully disagree with Green...if you don't like stained trim, you just don't like stained trim. While I know intellectually that stain grade wood is superior, I just don't like it and would paint it. I would leave the built in stained, it is very pretty and would be a nice contrast. The carpet is very pretty!

I think white or off-white tile can work with white cabinets, you just end up "layering" shades of off-white. There are other backsplash options, though. Wallpaper, beadboard, metal tiles, etc. I don't think you necessarily need larger molding on top of your cabinets, but you certainly could add it if you really like that look. IMO the arches add interest.

Fun DIY backsplash ideas

Your choice in table and the arches on the cabinets also reminded me of this kitchen make-over.

Here is a link that might be useful: Kitchen Facelift on Finding Home Blog

What GD said!

I had similar trims in my previous house. Whatever you do, you do NOT want to paint those trims, trust me!

BTW, love the dining set

And IMHO, it is too much of that (particular) granite on that inspiration picture.

I had my 90s oak cabs painted white. I'm extremely glad my floor is red oak and not also creamy white, which is too much enveloping white and can feel like an igloo. If the tile floor has to stay, I'd definitely think about a darker counter for contrast.

I'd paint the cabinets espresso brown, put a light granite on them that would echo the white floor, repaint the island a pretty accent color like barn red or apple green, and leave the woodwork alone. You've got 6 weeks of work ahead of you just in painting the cabinets! Let the woodwork grow on you because it really works in the home.

Do not paint the trim. The reason the builders put in painted trim is because it can be done much cheaper than the stained wood trim. With the built-ins, the trim works extremely well and creates a very rich elegant room. If you want to 'upgrade', I would put in a taller/larger baseboard than what you have now. You can go price out the baseboard at varying grades(paint grade in various woods, stain grade in various woods, MDF and see the difference for yourself.) The baseboard looks a bit undersized relative to the rest of the trimwork in there. The baseboards look best when they are larger than the other trim work. It gives grounding to the space.

Those windows were a huge upgrade from cheap vinyl windows when they put them in. I think it looks a lot better with the matching wood work than painted white trim. Someone actually spend alot of extra money to match all the wood work in that room.

The white painted trim that you see through opening in the kitchen in the other part of the house looks like chaper builder grade look. This wood is WAY better look than that, IMHO. Painted white trim always seem cheap builder grade to me unless you do an exceptionally good woodwork. (tall baseboards, boxed beams, higher quality windows to match etc.

I love your inspiration kitchen and would copy it as closely as possible.. paint/glaze the cabinets, add beadboard and corbels, choose a similar granite, backsplash, hardware. Your arched cabinet doors match very closely to your inspiration and will look great in white.

To address the white tile, you might Home Depot's Allure Trafficmaster, a floating vinyl floor that looks a lot like wood.. it's very easy to lay down right over tile (I did it myself in a bathroom!), pretty inexpensive, and very convincing.. I stared at and admired the hardwood floor in my chiropractor's office for many visits before I saw the repeats in the pattern and realized it had to be laminate or vinyl, LOL! If you do a search on the site you will find that guests of those who have installed it are often fooled as well. It may be a little more recognizable as vinyl if it butts up to actual hardwood, but as you seem to have just the carpet and tile you won't have that issue.

I would leave painting the trim until last and see if you really want to do it. I do agree with the others saying that it looks really good. Your inspiration picture has a traditional look that would work well with stained trim. I'm with you in that I usually don't like stained trim, but that window and the builtin just look gorgeous together and I would leave them :) If you still don't like it after all the other changes, paint it then.

After seeing all the comments raving about the trim I had to go back and look. I agree that it's attractive. However, it's your house, and if you like the look of white trim and want it to match the rest of the trim in your house, you shouldn't be made to feel guilty for that. I like tracie.erin's advice to leave it for last to be sure you want to, though.

The built ins in the family room look like cherry. Is the trim in there also cherry?

Is it just me or does that room look like something other than the oak that is in the kitchen.

I like painted trim, but I would probably not rush into painting anything in the family room. Nice house.

If you like the warmth and cozy feeling of the wood in the adjoining family room, I'd say keep the stained trim in the kitchen. It will look best to have it the same throughout. I'm not sure where the crown starts since I don't see it in the kitchen, but it ties in with your built-ins at one end and comes around and flows into the pony wall sill, door trim, etc as you move into the kitchen. If you don't plan to paint all the trim and built-ins down around the fireplace, you don't have a place to transition. If you do paint all that, it will completely change the feel of a room you say you really like. Plus, stripping and painting stained wood trim and doing it properly is a lot of work. Save yourself the trouble and keep the trim.

Paint the cabinets if you must, but know that painting oak may leave the grain showing, especially with lighter colors. I don't love oak, but I'm not sure I would paint it white or cream. Some have done it and been happy -- other have not. My neighbors started painting theirs and wound up refacing. Be sure you know what you are getting into.

OP you are looking at this backwards. White kitchens are out and Oak is very much in. People paint to cover junk wood. This isn't to say your kitchen doesn't need to be updated, but focus on the counter, backsplash, and especially the floor.

I wonder if I'm in the minority by saying that I love your kitchen the way it is? I think it's very attractive and works for the way I cook.

Thank you for all of your comments and compliments...

You have reminded me not to rush into changing things. The house has alot of trim work throughout, including on the dining room ceiling, dining room walls, living room, windows, entry/foyer, doorways, etc...In those areas, all the trim has been painted white, but it appears to be the same style and type as what's in the kitchen/family room. I guess I was thinking that the rest of the trim work should be white too. But, I see now that it doesn't have to match and will leave a bit of character to the family room!

The wood for the built-ins do appear to be an upgrade over the kitchen cabinets. As much as I love the look of all white trim, the family room has such a warm feeling, as is, so I will probably just keep any furniture in the room light for contrast and accent with color. I will definitely not rush to change to quickly!

Some of our main reasons for choosing the new home is because it was custom built, is loaded with trim work and moldings and is in an older neighborhood with lots of large trees and yards. Of course, there is also plenty of shiny brass in all of the bathrooms, door handles and foyer lighting that we will be busy replacing. And, the landscaping needs some updating from the overly manicured large bushes surrounding the front entryway of the home. I may have trouble with interior design/decor, but I am in my element with landscaping and yard work!

I appreciate all the comments about the kitchen...My husband and I have done a lot of work ourselves in our current home. He does most of our home repairs too; he hates hiring out! Life has gotten extremely hectic these days, so we have less time for DIY work like the time it would take to do paint the cabinets. But, I think we can easily handle the backsplash and modifying the cabinets with beadboard on the sides, but will find someone for counters/sink and help with whatever we do to the cabinets.

It sounds like if we have to hire someone to paint the cabinets, it might put us way over our current budget. While I still love my inspiration kitchen photo, I may entertain the idea of darkening the stain/refacing the existing cabinets, possibly painting the center island as one of you mentioned and updating the counters, sink and adding backsplash and other details. This would buy us time (and save us money), until we can afford to get the wood floors we want and the painting of the cabinets the way GreenDay detailed.

I appreciate all the advice.