Keepass has been my go to since forever, highly recommend. I never jumped on the SaaS password manager train when they started coming out, always just kept it local. There were times I thought I was missing out on some convenience but I'm glad I never moved.

Depending on your threat model, you can even just keep the .kdbx in cloud storage somewhere and point your keepass client to that. I'd recommend using a keyfile in addition to your master password though so that if anyone does happen to get a hold of the database they can't just make brute force attempts against it.