Firefox is decently secure because it has an independent security mechanism, as opposed to Chrome which uses the operating system's.  I use it to stash passwords as well for most things.  Not all, as the browser is the canary in the coal mine when attacks do happen.
As for password managers, I use mSecure because it allows me to use a shorter PIN on devices, but encrypts the file that is stashed on DropBox with quite a long passphrase.  If one just needs a PW manager on one machine, KeePass is tops, since it is open source and quite secure.