I am using LastPass since I found it, I mean under Chrome extension. I don't know if I use the two step authentication or not, but I just use it. I can't remember all the passwords, and some passwords are so messy that I don't even remember why I created them! But at the same time I am quite confident that they can see my password very easily (I would more than be happy to be proven wrong), but the thing is I don't give a damn.
I tied Keepass but it wouldn't work with Chrome, so couldn't use it. LastPass in comparison is very easy, even a child can use it. One bad thing though, I have now forgotten passwords for most sites, because of that auto login feature of LastPass.