Legal Question in Family Law in Georgia

The answer depends on things you omitted - such as the language of any custody order and where it was granted.

Your divorce/custody order determines everything. Read it. Usually there's a provision that you have to notify your spouse of your intent to move within a specified time frame. This gives him time to file a case to change custody or visitation. Generally, you can move anywhere you like, but the children are affected too, so they may elect to stay, depending on their ages. You should seek the advice of an attorney who might be able to help you avoid expensive litigation and headache by resolving the issues early before you move.

Under Georgia law you are supposed to provide a 30 day notice of your intent to move which is to include your new address. The father has the right to file a modification and request custody and/or a change in the parenting schedule. You need to take your custody order to a family law attorney and have it reviewed. I would not make the decision to move until you understand the risks.