Depends on the style of the house is my answer. I disagree with the idea that all the trim should match, instead my belief is that all trim of a particular grouping should be treated the same, but the grouping criteria can vary. All interior doors are stained is valid or everything in the basement is painted is valid but flip a coin categorizing just won't work. The house I am selling is from 1931 and has stained wood in the public spaces with white trim in the kitchen, baths, and bedrooms. We did have the center hall crown stripped of a previous owner's paint as it was originally stained and we felt it fit better in the grouping of stained wood. In my 1933 Tudor next house, I chose to paint all the new trim in the basement and finished attic white and not change the existing stained trim. I added crown in the main floor and worked quite diligently over many hours to match the color and finish of the original woodwork. Purchasing, finishing and installing stained trim is very expensive, in time, money or both, and I don't consider it to be worth the expense in a newly built space. I occasionally see new stain woodwork of fantastic quality and design but so much of it either looks cheap or pretentious to my eye, although I know it was an expensive item

in the main room you have partial white windows. I'd paint them all white so that it matches. even the door casing. you can leave the wood doors. as for the baseboards, up to you. your wood ones don't look too bad. It's just a whole lot of wood, especially if you're bringing in arts/crafts type of oak furniture. the floor is oak but the baseboards and trim look like something else. I'd prob do that living room/kitchen trim/baseboards in Alabaster. wait for the other rooms until you get everything in and see how it looks you have to admit, it looks much fresher.

Do not follow trends. Trends are like fads, they come and they go. Wood is making a comeback anyway. If your wood trim etc are good quality, then leave them stained. New houses that have all the painted trim, usually have a cheaper grade wood or mdf for trim.

It looks like you have beautiful wood doors, door trim and beams. Don't know what you have around the windows (not pictured). Looks like the stairs could use a bit of TLC. If I were you I would not be in a hurry to paint or refinish the wood. First year in the home should be figuring out what works, doesn't work, how the home functions and where to sink your money. Prime your walls - live with them for a bit and decide if you really want white walls. I know all the pictures on the internet today are white rooms, but they also have studio lighting. Not all homes look good with all white walls. White needs lots of light to really shine. Often a light neutral color looks better than white if you don't have giant windows, skylights or other great lighting. My last home had between 6 and 16 linear feet of windows in each room - natural daylight galore and I had white walls. My current home has more normal sized windows in most rooms and I am painting the walls that were white to something more appropriate for the amount of light. The white just isn't pretty with out sufficient light. With the walls all primed you can look at flooring and paint and make a better decision on what works best in your new home.