I hate trying to remember a lot of different passwords. So I don’t. I use Lastpass Password Safe. It is my favorite browser extension. Also, it is works with basically any browser. You just add it to your browser, give it a master password, and it remembers all the passwords you use for sites from then on. It has an automatic form filler which has saved me lots of time.
Some people will question the security, since your passwords are stored on their servers. All the information is encrypted with your master password, though. A while back, their servers got compromised. No one’s passwords were stolen, though. They were straight about it, and told everyone about it immediately. This makes me want to trust them more. My Lastpass Password suggestion is to stop using easy to guess passwords. Have one really difficult password, and let Lastpass handle the rest.