Hotel Azure NYC - Very Good Budget Find!
Clean, safe and located right above a major Metro/Subway station. Also: just steps from Little Italy, Chinatown and "fashionable" East Villlage Shopping/dining.
If you want to pay ten times the price, you can do so just a couple blocks north. 
Hotel Azure isn't a chic hotel/spa -- but the people working here are friendly. The room carpet is a bit dirty and room view is of Canal Street/Chinatown. (You can visit/view many fancy local spas/shops within walking distance if you want to spend lots more money... )
What you do get for a low NYC price is a clean, small room with air conditioning, a tiny refrigerator, a safe (not big enough for a laptop -- only a wallet) and location/location/location! BRING EAR PLUGS -- there is traffic noise at all hours!