Would you like it to be:
You should be able to go to http://www.facebook.com/username/ to create a unique URL for your profile. However, if your name is very common, Suzie Q, for instance, you may have to settle for a name like SuzieQ2.
If you have a fan page, you can also have a unique URL after you have twenty-five fans for your page. I was able to do this for eQuipping for eMinistry using http://www.facebook.com/eQuipping4eMinistry (While you’re at it, click on over to the e4e Fan Page. Thanks!) You won’t be able to have a unique URL for a group page, however.