Well Tottenham are by tradition, our long time rivals but in terms of honours ( meaning silverware ), I see Chelsea as more of a rival than Spurs. If we don't do silly things like we did last year, Spurs really shouldn't threaten us for silverware.
Chelsea, City & United are our rivlas. Tottenham are just an irritating gnat that gets close enough for us to have to swat once every decade or so.
Tottenham are our most hated rivals yes, I think Liverpool are the team that are closest to us in terms of quality though.