PC Gaming both behind a desk and behind the TV in the couch. Should both have the same resolution?

I'm upgrading my gaming PC with a better GPU that could run games in 2560x1440. I currently have a 22 inch 1080p monitor and a 1080p TV, both hooked into my PC. I prefer the TV for games I can play with a controller. The small monitor on my desk needs to be replaced with something bigger, lie 27 inch.

Should the new, 27 inch monitor be 1080p like the TV, or would it be a good idea to get a 1440p monitor? I'm mainly concerned about the practicality. Like having to switch resolutions in windows settings every time I change monitors. Also, while I should be able to run 1440p pretty smoothly, maybe the extra FPS on 1080p would be nicer.

Currently using an i7-8700 CPU with GTX 1080, 16 RAM, 512GB SSD (having most of my performance issues with Total War: Warhammer III)
Upgrading to an i5-12400 CPU with RTX 3060-Ti, 16 RAM, 1TB SSD