I've responded to your other thread, but I will chime in here, too:
Clean everything FIRST, including washing the kitchen cabinets inside & out and the walls (not as onerous as it may seem, microfiber rags and a bucket with TSP/water. You probably won't have to actually scrub, unless you had smokers in there, but a solid wipedown removes dirt that you can't see and will make the new paint go on better and look better, plus keep dirt from nearby fixtures & surfaces from getting into the paint.) Especially de-grease around the stove & microwave.
2) Paint goes on sale at Sherwin Williams, and Lowes just about every holiday. Sometimes there are coupons in the Sunday newspaper or online. Valspar paint from Lowes is very good for average uses and much less expensive than Ben Moore -- Behr from Home Depot is highly rated by Consumer Reports -- I used Clark & Kensington paint + primer from Ace Hardware in my kitchen and am quite please with it.
Off whites and pale blues, greens and grays all make good backdrops on the walls of a home. Just be tuned in to whether the color you are considering is a "warm" tone or a "cool" tone (even shades of white can be cool or warm). Cool will be arguing with your cabinets. Most paint retailers have sample cards with color combinations or with the shades (like white) divided into cool and warm categories.
About the only thing I would call "timeless" in home décor is medium tone wood floors -- and even they were "out of style" in the late 1950s through the 1970s when carpet was the be all and end all. If you are looking at a 10 year horizon, though, I think you are safe with luxury vinyl, and stone and wood look floor tile (if you end up having hardwood under the carpet, save up to have it refinished instead -- just remove the carpet and clean the hardwood well in the meantime).
Anywhere else in the house, especially the kitchen, just go with simple and clean designs, where you can be more trendy or colorful with accessories and furnishings.
4) Ikea, if you are reasonably close, is usually a very good place to buy kitchen counter material and other gadgets and accessories -- much lower cost for many things than any other retailer.
You don't have to get it all done rapidly, either -- give yourself time to look at styles and materials to find those that you really prefer.
PS I had a house that I installed vinyl floor, wallpapered, painted, pulled out old carpet, installed blinds -- all over the course of my child being between 2 1/2 to 4 years old, and while working full time! It can be done!
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Shades of white paint
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