I can't help with color. I tend to chose "bright and bold" myself and that's a bit against the current popular trends. I will say this about the metal tub trim, for what it's worth. I had similar trim surrounding the main tub when we lived on the base. The Housing Office let me remove the glass doors - no way was I going to try to keep them clean - but that left the metal frame that hurt my foot every time I got in the shower, was the devil to clean, and was very uncomfortable to lean over and against in order to clean the tub. I got out the power screwdriver and removed all of it. Yes, it left a few holes along the tub, and three up each side of the tiled walls, but I carefully filled them with caulk and never gave it a second thought. The small filled holes were much less bothersome than the frame. There was no water damage, and believe me, before we moved the housing inspectors tried their best to find some, LOL. Since our house was scheduled for demolition once we retired, I did not have to replace the glass doors and frames that I had carefully and thoroughly cleaned, wrapped, and stored in the basement. So if you don't like the large expanse of gold trim around the tub, and you don't mind a few dots of caulk, remove it. You'll more than likely be very pleased with the results. I have that very same cabinet over the toilet in our basement bathroom. It's as sturdy as can be, very well made, very useful, etc...so I just decided to embrace it's '60s glory and use it as is. You could change the handles and switch out the sink faucet. Once you pick a paint, remove the tub trim, and maybe change the faucet you can just celebrate having a functioning and not-bad-at-all bathroom.

No pictures are showing...

Have you looked at them in the ColorSnap Vizualizer? You can upload your photo or use one of their baths. It is a good way to narrow down a field. I added your colors to the background of the cabinet and fixtures you show:My favorites are Quietude and Moody Blue.

All these very light greys are still colours. They are knocked-back, greyed-out colours from different Hue Families. That info can give some indication of how they may render. Your lighting is boss though and is most influential over near neutrals like these. Ice Cube = Green Yellow Hue Family. May look ‘just grey’, may show evidence of its inherent green-yellowness, may in certain settings, shift positively blue.