You could always contact an attorney and discuss the situation.

Usually ANY move affects visitation in some way. Although what is stated is generic, what is the typical schedule? How is that affected?

Everything is simplier is Illinois family court if it's uncontested, would your ex agree with your removal of the child(ren)? If he chooses to fight, you will have to return with the child(ren). I do not believe that you can just move out of state, no matter how generic your divorce degree is stated.