I don't have direct experience with 1Password on Linux, but customers have complained about how AgileBits has treated the Windows and Android builds as third class citizens and not put in a lot of effort into those. So I'd be cautious, try it out and then decide instead of taking someone else's word for it.

For multi-platform password managers with browser extensions, Enpass (enpass.io) is an option. Dash lane is another, though it's about as expensive (or more) than the 1Password subscription that AgileBits pushes (the dark pattern on the AgileBits website about completely hiding the standalone license is something I don't like).