Good ideas and conversation. No ads, no tracking. Login or Take a Tour!
To reiterate the earlier recommendations, use KeePass or KeePassX. They're open source, so you (or anyone) can audit the code to see how it works. Your password database is stored entirely on your own computer, so you are not trusting any online service to not get hacked. They also have a great password generator built in, so you don't even have to think about making new passwords for each site.