The Genovese are the only family active in every single one of those places to some degree and are certainly the most powerful overall, I can't speak for therest but for The Bronx it goes Genovese,Luchese,Gambino,Bonnano, with the latter having largely diminished, I'd also like to add that the peckin order is likely the same in the northern suburbs like Westchester but without the Bonnanos altogether