I found this great tool RoboForm. It remembers my passwords, so that I do not have to write them on pieces of paper. Not only does it fill in the passwords for you, it can do the whole login thing: go to a site, fill forms, click the Login button. It also fills those ubiquitous web forms in one click.

I really like it and best of all, it is completely free*. They do not show ads to you and they do not spy on you. RoboForm has received very positive reviews from publications such as The Wall St Journal, Financial Times and PC Magazine.
If you don't like it you can try LastPass it's completely free.
*RoboForm has a free trial version that's limited to 10 passwords after the trial ends(30 days)