Times Square Hotels?

There’s the econolodge, the mayfair, the paramount, and a few others. In New York, you don’t have to be near Times Sq. to be in a good location. The subway is fast and goes everywhere. Stay somewhere in Manhattan south of 96th street within about 2 blocks of a subway. (use mta.info and google maps to check this out) Look for the best deal and use tripadvisor to see reviews. It’ll be tough to go wrong.
When you’re here, get an unlimited ride card. Take the subway anywhere you go. (if you’re on the upper east side or upper west, you may want to take a bus instead if you are crossing the park, or you can walk, just not at night).