The only reason Sterling is hyped so much is because he stands out amongst what is often a very average looking bunch at Liverpool. They are in good form at the moment but it is not indicative of top class players, more so top class management. Brenda is a good manager and the whole team was catered to him (Sterling) pulling them through at points. Whereas, Man Utd have top class players through the majority of their team, but piss poor management. He would just be another player at Arsenal and United, their nearest competitors.
I don't buy the idea that Liverpool are a very good team. Coincidentally, I think Man City would be exactly the type of team to buy big and go for Sterling to replace their deadwood.