Actually, here's a tip from a native New Yorker: if you don't mind changing hotels then use Hotel Tonight, a neat app that gives you the best last-minute deals in town. So stay at a place, then the next morning check Hotel Tonight and choose another place.
By doing this you will always have a hotel half-off (or better) and also get to experience different neighborhoods, etc. We're talking paying $100 or less for a NYC hotel room that usually goes for $300+.
Have fun!!
