I would do hardwood close to the trim color - definitely not dark

I agree, I would do the same tone as the windows and other trim.

I would use the same tone or darker to add weight to the floor.

What exactly does "redoing our floors" mean? Is there hardwood under the carpet, and are you sanding and staining? If so, you have lots of choices on stain color.

Or are you installing new pre-finished engineered wood floors? You'll have fewer choices in this case. Try to get something that blends with the wood trim--looks like a medium toned reddish wood. You'll need to wait until you pull up the carpeting and see what's underneath before you can make a decision.

As others have, would suggest getting as close to the color and tone of the existing trim as possible. Adding another wood tone to the mix that differs from the exiting trim might not look right. Good luck!