When we first moved into our house,we had all the rooms painted the same white. As time went by and we updated or added new pieces, and purchased drapes/curtains/bedspreads,, we painted the rooms different colors to complement these new purchases. This worked well for us.

@threers That’s our ultimate plan too! What color white did you use? And what finishes?

We used BM Swiss Coffee in rooms that face east south and west. BM Cotton Balls in north facing room. BM Super White for all trim. Don't remember finishes;went with standard recommendations from painter. Good luck!

Ceilings, flat. Walls, matte, eggshell, or if you want a bit easier cleaning, in kitchen baths, satin.

Trim, satin or semi gloss, All your preference.

I'd stick with your original plan to use a different finish on the trim and walls, but keep all the walls the same white. After you've moved in with your furniture and been there awhile, you may decide to paint one or two rooms a slightly different color for some interest. Unless you have a room like a dining area that you want to highlight now with a slighly different color. It depends on whether or not you have all your furniture or not.