"His parenting has to be away from his home and he can't expose them to the `20/20' broadcast" airing Friday night, Cohen said.
The attorney also filed papers in Suffolk County seeking a temporary restraining order; the divorce became official Sept. 29.
Cook's attorney, Norman Sheresky, did not immediately return a telephone call seeking comment.
Cook, an East Hampton architect, settled the highly public and nasty divorce last summer following a weeklong trial that featured salacious testimony about his affair with a teenager and his use of Internet porn.
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