See quite a few nods to 1Password in here, which is good, although I tend to favor KeePass myself, given that it's FOSS.
It also has a way better Firefox add-on than any of the others I've seen (which is my main browser), and the Android apps, if unofficial, aren't bad either [0]. Importantly, they feature the ability to either pull from a local Keepass DB or to get it from a connected Google Drive account. I've taken to using the latter to make sure my database is synced across all my devices.
At this point it works fairly well across everything I use, with the one exception that trying to keep the database synced on my Windows box requires an extension that looked a tad shady to me [1], so I opted to simply manually upload a new version each time instead.
It also has a way better Firefox add-on than any of the others I've seen (which is my main browser), and the Android apps, if unofficial, aren't bad either [0]. Importantly, they feature the ability to either pull from a local Keepass DB or to get it from a connected Google Drive account. I've taken to using the latter to make sure my database is synced across all my devices.
At this point it works fairly well across everything I use, with the one exception that trying to keep the database synced on my Windows box requires an extension that looked a tad shady to me [1], so I opted to simply manually upload a new version each time instead.
[0]: https://play.google.com/store/apps/details?id=keepass2androi...
[1]: http://keepass.info/plugins.html#kpgsync