Bitwarden: Paid, but with a free tier, ticks all your boxes
KeepassXC: Free, ticks all but browser access (great android and browser integration, though), syncs through any file sync service (WebDAV support makes for a nicer Keepass2Android experience, though)
Note that I’d not recommend Keepass for multiple users, I heard of sync issues there and you can’t do partial shares. Not an issue for me, though. With Bitwarden, the free tier offers 1 extra user.
Personally I don’t want to be dependent on some other service (like bitwarden hosting for me), but also not be reliant on my own server for something as important as passwords, that’s why I’ve been using Keepass(XC) for the last 7 years (thought it was longer, but it turns out I had LastPass premium till 2016. Fuckers).