Also painting living room that is part of that flow if needed.

I can see a light tan/cream or "greige" in there, which are neutral enough to take through all the spaces but not boring. We did that on a friend's recommendation and it made the rooms look larger and brighter and more cohesive. Large artwork or wall papering a wall can add interest here and there. Or going one shade darker in the bedroom. Something like that.

However, test some colors! It appears you have warm wood floors so finding a neutral that doesn't clash means test painting some sections of wall with a few colors first (near the floor), and standing back to compare them against the floor as light changes throughout the day. Neutrals can really change as the light changes. I just finished painting kitchen cabinets and it took me forever to settle on a color but having a few samples helped. I was able to eliminate a couple right away that looked great on the strip and not so great with the backsplash and counters in my kitchen.

BTW: I also have paneling in my bathroom. After seeing a photo in a magazine of bead board painted in "minimal contrast" with the walls, I painted the paneling in very pale yellow, put bright white on the trim between, and painted the upper walls in a cream color (an even lighter version of the yellow). That "slight contrast" worked great and I love it now. The paneling is not overwhelming but the architectural elements are still evident. It might be the contrast you don't like. Just a thought.

Good luck! It will look great, I am sure!

Greige is where I am leaning as well. Something like this:

Or maybe this and doing the darker shades in bedroom/bathroom.

The floors definitely make this harder. Especially as we are picking out kitchen floors. It’s been very hard to find something to go with these hard woods.

Love the Loggia! The other might be too gray with your floors? According to one designer (I just looked it up, playing hooky! lol), blues, greens, creams/beiges and warm greiges with green undertones work with the orange or yellow colors in your wood floors but not true grays. Loggia would seem to follow her advice. Another designer suggested "comfort gray" from SW with warm wood, so I attached a link to the color below. Its more green/blue and is gorgeous. Benjamin Moore "Revere Pewter" and Repose Gray by Sherwin Williams are crazy popular greiges and I think have green undertones? I don't know how far into your search you are but those come up a lot in web searches and designer suggestions. I tried several greiges and realized anything with gray was just not going to work in my kitchen (they looked flat and dull next to my backsplash/countertop). I had to go with a creamy beige. I painted big squares of plywood I had in the garage on both sides with 6 sample colors and moved them about throughout the day. It helped a lot. Here is the Comfort Gray:

https://www.thecreativityexchange.com/2014/11/paint-color-spotlight-sherwin-williams-comfort-gray.html

Remember to post after pics! Have fun. Back to work for me...

Thank you! I will add them all to my list to sample!

Here are some strips I have.

far right misdle is loggia - I also like the sackcloth (right top)

top left is repose gray.

Sackcloth is pretty, and is light. It might look like a dark white on the walls. Geez, all are nice colors. Crazy how they all look similar but not lol. I think you need to just pick one you love (look at pictures of it in rooms online if it helps, go with your gut) and sample it. Try it on a chunk of wall in a few places. Start with just one. If it is totally "off" to you (too dull, etc), you will know to switch gears. Samples will look different from the strip. So glad its not me in this pickle this time! Good luck!