Do i have to let my ex know where i live? i have full custody.?

i'm a dad who won full custody of my two daughters,and now i want to move from Chicago ill to Shaumburg ill.My ex is only granted supervised visitation,and thats fine whatever but i prefer she not know where i live cause she is a problematic person and likes to start dramma,so am i obligated that she has to know by court,or can she just get her visits in a designated location n'stuff?