Originally Posted by
gfunkdave
It depends on your level of risk aversion and what kind of "sensitive" info. For stuff like passport copies (and really, even credit cards), I wouldn't be too terribly worried. Files in your Dropbox aren't shared unless you share them. The main worry is that someone will break into your account. That said, I would set up two factor authentication and ensure you use a strong password for your account.
I would go for Dropbox too, or any web mail that you can memorise. I have LastPass memorised, and from within it I can "launch" my other secure logins. (Also as described by Spiffster above with another LastPass feature)
The only problem with two factor authentication that I can see is that the OP it seems is planning for when he has lost everything else. Since the two factor will detect a login from a new computer, it will send a verification text to the mobile phone registered - which has probably been lost.