Florida Eviction
It's surprisingly easy to file an eviction in Florida and not terribly expensive. Your first step is send the Three Day Notice, which you can pay someone to do for you or just download a copy and mail it yourself. The form is simple, and you should have no problem with it. You can get a copy of a Florida Three Day Notice for free from the "Boot Your Tenant" website, bootyourtenant.com.
After the Three Day Notice, you have to decide if you just want to get the tenant out, or if you want to evict and sue for your past due rent and/or money for property damage they may have caused. The whole process takes about 3 to 4 weeks depending on the workload of the court at the time. If you do sue for damages, remember that getting the judgement is one thing, actually collecting is another. Generally you'll turn that judgement over to a collection agency who will take about 33% of whatever they collect.
If you want to read a detailed description of exactly how the eviction process works step by step, there is one available at the link above. Good luck!