I’m not sure if you’re aware of this but well, if you aren’t then Facebook offers you a profile link with your name. This will not only make your Facebook profile link short but also help you and your friends remember your profile link with ease. Such links are also known as vanity URLs.
Firstly, go to http://www.facebook.com/username
Now choose a shortname for your Facebook profile and check the availability. If it’s available then grab it. But, remember to choose the profile link wisely as you can’t change it once you have chose one.