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Third for Keepass!
I keep my datafile in Dropbox and use DropSync to keep it current on my phone and tablet. The combination works flawlessly!

... Now I've installed KeePass for Android on my (HTC) phone, copied KeePass' data base file from PC to my phone and hadn't any problems to open the data base and edit it
For back up I sync the data base with my network drive and so I've the current data base available for to open it with KeePass on PC.
I like to have this option to open/edit a password data base on different systems, IMO better than to be dependent on a single password app with a build-in data base. ...