Halle Berry Checks Out Schools for Nahla In Gay Paris

Halle Berry is banking on her custody judge giving her the green light to move to Paris with 4-year-old Nahla -- because we got pics of her checking out preschools in Paris.

TMZ broke the story ... Halle wants to move to France with her fiance Olivier Martinez and Nahla to escape the paparazzi that dogs her in the states. She also feels unsafe in the U.S. because of ongoing stalker issues and fears for Nahla's safety.

Baby daddy Gabriel Aubry is fighting the move, claiming it's bad for Nahla to sever meaningful contact with him.