The father cannot take your rights away but he can prevent you from moving your child out of state. You can move - just not the child. This is assuming the father is legally as well as biologically the father. Did he sign the Voluntary Acknowledgement of Paternity? Is his name on the birth certificate? If so, he has legal rights as well as responsibilities.
you should consult with a lawyer in person about this. if this man is legally the dad, you cannot take the child permanently out of illinois without his permisssion or a court order permitting it.