If you are not married to each other and you don't agree to put him on the birth certificate ( he has to sign to affidavit of paternity and you have to agree to it) you are free to do whatever you want until he files to make himself the legal father. If he is on the birth certificate but does not file, you can still move. You can also move before the baby is born since the child is not at issue until he/she is born. Once he or you file a parentage action or a petition to establish a parenting plan, you must give notice if you move outside of the current school district.
Answered on Jul 18th, 2016 at 6:37 AM