“Harry Potter” star Emma Watson is looking for a New York pad and has been apartment hunting on the Upper East Side. Sources tell us the actress, who’s currently studying in England, wants a base here and has been looking at two- and three- bedroom apartments near Central Park. Watson, who is dating fellow Oxford student Will Adamowicz, was also spotted Thursday dining at new Kenmare Street eatery Ken & Cook. Her rep didn’t get back to us.