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 take…
So you're trusting Google?
http://keepass.info/help/base/security.html#secencrypt
Hence, I am reasonably confident that even if Google were to turn over my Drive account to the NSA, they wouldn't be able to crack open the database.
See also: discussion on feasibility of brute forcing a KeePass database:
https://security.stackexchange.com/questions/8476/how-diffic...