We have been to NYC a few times and the last was for NYE. We stayed for 5 days (3 before and 2 after) and found that Club Quarters was good for location, overall facility and price (1/2 that of even a holiday inn on W57th.
Midtown Manhattan Hotels - Club Quarters - NYC Corporate Apartments & Extended Stay Hotels
All good advice as above, NYC on NYE was the coldest I have ever experienced in my life, best off packing at least a scarf.