I use KeePass. It's an offline password manager, so you don't have to worry about trusting a cloud provider to have good security practices. You can sync it using OwnCloud or rsync or whatever you do trust. I use SpiderOak.

I secure mine using a unique password and an SSH key. If you do use a cloud sync service, never sync the SSH key. Keep a copy of it on a USB drive hidden somewhere in your home, and then just copy it onto any device that might need it.

(You definitely can use this system on a mobile phone, but I find it too risky. There are probably ways to make it more secure to have these files on your phone.)