Cynthia Nixon is trying a different kind of sex in the city, the Daily News has learned. For almost 10 months now, the Emmy-winning actress has been dating another woman, sources say. Back in June of 2003, Nixon split with Danny Mozes, the father of her two children. Last January, according to friends, she began a lesbian relationship. Right now, Nixon, 38, does not want to be as outspoken as Rosie O'Donnell, the sources say. But Nixon did not flinch when we asked her yesterday whether she is involved with another woman. Speaking exclusively with the Daily News, she said,...