IMO KeePass is one of best (if not best one) password manager in existence.
I agree that it's one of safest (if not safest one) password manager. This password manager is free and open source, and is one of most audited piece of software in the world, so you can be sure that isn't security by obscurity.
For ease of use, I find KeePass really easy to use and I don't agree at all what her says about this. Still, it might take a bit time to learn how to use this program.
Sure, it has no browser integration out of the box, but you can always install a KeeForm plugin to make it work with a web browser.
You can backup your database pretty much where you want and it's possible to sychronize your database with your devices. I have same
...Mostrar másdatabase synchronized with my two computers and my phone through Dropbox. There are many plugins and mobile apps that support synchronizing your database with cloud storage.
If you are ever confused about using KeePass, there is a community dedicated to helping users of KeePass on SourceForge, so customer support isn't all that bad as they say - in fact in comparison it's better than of closed-source competitors.
Menos