If it was my house I would leave the floors and ceilings alone. The doors I would leave stained, but only if they are a nice wood. Everything else I would paint in a nice creamy white.

Obviously I am not a fan of stained generic trim. The answers you get will be split and probably not help you!

I agree the ceilings and the floors are lovely and all the competing wood colors take away from those 2 things I just realized you want to keep the wood wall so that IMO needs to n\e all wood including I hope matching the floor or the wall. I am not a lover of that much wood in a space but it seems to be quite nice in there I think all the trim the same color as the floors probably the best choice . I do not see the doors and where they are so can't comment on those Is that awood wall throught the doorway on the right ?