I would go with some shade of gray.

You have a lot of color. I have counted at least seven. Time to pick one. My choice would match the off white tile in your back splash. You would have to make that decision, but I think I am seeing BM china white on my monitor. I would carry that throughout, painting the wood work in a semi-gloss and the walls in a matte finish.

Bring out the other tones in fabrics.

A warm white would be lovely...something like BM Swiss Coffee. Not all the colors have to "match; just look good together.

Pick a color of gray that matches the stone on your hearth and then paint the back wall (only!) of the bookcases flanking the fireplace. Hopefully, this punch of cool tone will put the focus on the grays in your floor tile and pull out a gray tone in your back splash. From your pics, there may not be a gray tone in the back splash but sometimes you can fool the eye. Then, step back and look at the rooms with fresh eyes to decide what color for the walls. Maybe a white with a true gray undertone, not a yellow undertone.