The answer to your question depends on whether your father ever legitimated you through a court order. If not, your father has no legal rights to you. In Georgia, a man who is not married to the mother of the child is called a "putative" father and has no legal rights to custody or visitation with the child. However, a putative father still has a financial obligation to support the child. If your father did legitimate you, he could file a motion with the Court to change custody if he wanted to keep you in Georgia. However, you have attained the age where the Court will greatly consider your opinion as to which parent you wish to reside with. If you have not had regular contact with your father for the years prior to the move and your mother is a fit parent to have custody of you, I doubt that any court would grant the request to change custody, especially if you supported the move to Florida with your mother and opposed living in Georgia with your father.
Your father has to try and establish his legal rights through a legitimization process. Until he does that, you are your mother's daughter and she can decide what to do with you and your F has little he can do. Also, at your age, if F actually tried to interfere with the move, the judge would listen to you on whether or not to permit it. However, if there is no court case filed, your M can move you without his permission EVEN IF HE WAS your "legal" father. Hope it all works out for you and your mom!
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