Earlier quoted context omitted.
I'm using keepass, and the sync does not seem to be hassle - my file lives in dropbox, and it's always been synced before I open the app on another device. Bonus - backing up the database is as easy as copy-pasting a file.
For anyone who wants to avoid storing the Keepass database in the cloud store I can recommend Syncthing. For extra security I use a key file in addition to a password which I manually transfer between devices.
I'm sure I forgo some convenience by not having field auto-populate all of the time (Keepass can do some of this, but I haven't had it work reliably), but I relax knowing I need not worry about a third-party service being hacked or my credentials being behind a paywall.