Noob question... Code in CLI vs. Desktop app, using multiple computers/sync context

Good morning, To get started, I don't really use Claude Code for 'coding' like most of you guys probably do, but its been my go to for multiple projects.

Right now, I am running it from 3 places... Windows desktop, Windows Laptop, Proxmox VM.

Usually I am SSH into the Promox VM, but that is not always an option. I feel like I have three different 'claude codes' running, and I am trying to simplify my life.

I've never really got the desktop app running properly... as it didnt really sync between devices. I am still not sure if that is user error or a limitation of the program. It FEELS like they should all sync, but i didn't for me, last I tried it (even when opening inside the same project).

Should I
A) Use code from the browser?
B) Is there a way to use the desktop app and have the same sessions available between devices?
C) just ALWAYS work from inside the VM (that is where most of my files live, and it SEEMS like the natural move, but... well, I never really got comfortable with interacting with my files/folders from inside a CLI environment; i.e. My mind still relies on windows explorer.

I am someone who is not a coder (Veterinarian/Biochemist), who fell down the Homelab/AI rabbit hole and am learning as I go, using it for a multitude of projects, both professionally and personally. I say that because my learning background is more organic... no formal knowledge/education on the way things 'should be run'.

Not sure if all this is going to make sense, I will/can expand if needed.

If you got this far, thanks for reading!