If you have a small number of Facebook fans and want to try out a few apps for Facebook contests, there are several excellent options available. Many are feature-limited for the free version or limited to free only to 1000 or 2000 fans. However, as you’re just getting started, these might help you get a taste for how to legally run Facebook contests.
In case you aren’t familiar, Facebook contests require for you to run them via an outside application, link to a website where the contest is or run through an iFrame. You can see my post about that here.
At any rate, here are some sites to check out for Facebook contests.