Do I have to try and notify the father of my son of what I am wanting to get full custody?

I am currently living in GA but I am thinking about moving to the state of Fl in the next few months. I am wanting to get a court order stating that I have sole custody (physical and legal) before I move to Fl because I know the laws are way different down there. The father and I were never married. I do not know where he is. He does pay child support and he has not had any contact with my son since 01/2012. Do I have to try and notify him of what I am wanting to do? If I do have to try and notify him but don’t have his information how does that work?