Facebook allows you to set a friendly URL for your Facebook Page (also known previously as a fan page). If you ask me, a fan page is a better name for it, otherwise you have to explain that your FB Page isn’t your own FB page, but a “capital P page” you created for your community, organisation, or company! Confused? You’re not the only one.
For example, the URL for CEviews.org is http://www.facebook.com/ceviews. Its “real URL” is http://www.facebook.com/pages/CEviews/133801569994470, being a Page I created from my personal Facebook account. Now the long URL redirects to the short, friendly one.
There are a couple of hurdles to cross first.