Some ideas for you to visit/see:
- Pier 17
- Financial District and NYSE (too bad you can't visit the inside of New York Stock Exchange anymore)
- Greenwich Village
- China Town
- Central Park (rent a bicycle or rollerblades, and have fun)
- all the sky scrapers
Have you already searched Tripadvisor website to see people's reviews on different NYC hotels? Tripadvisor is a good resource to have!