That's exciting Kaylee

!
We stayed at the Courtyard Manhattan Midtown East (866 Third Ave ) - good location and good size rooms!
I would also consider the hotel where Astrid stayed and recommended - the Grand Hyatt Hotel, next door to Grand Central Station! (You have to visit the station!)
There are loads of past threads on this CB, full of good tips on sightseeing but naturally the Empire State is a must - I just love this building. Visit early before the line gets very long and it's crowded at the top, and also visit in the evening.
To really see Manhattan properly I'd recommend a combination of open top buses and walking - we found sitting in a car (and mostly in traffic jams) very frustrating. You simply cannot look at skyscrapers etc properly from the inside of a car! The open top bus tour - you have a commentary so you know what you are looking at, and it will take you to and through all the 'must sees' - the various districts of Manhattan, and you can get on and off anywhere. They do not pass close to Ground Zero - although MANY tourists visit, it strikes the wrong chord for it to be considered a tourist attraction of course, and thus the bus does not go near. We walked there from Battery Park- this was in 2002 just a year after, and I personally found it profoundly upsetting but something I felt compelled to do.
The Staten Island Ferry is free and we were able to remain on the ferry when it arrived at Staten Island and bag a place on the railings so that we could film our approach to NY harbour, and the Statue Of Liberty as we passed by.
We had little time to shop and when we did we chose the wrong place - we went to Macey's and were very underwhelmed. Wish we'd gone to Bloomingdales instead!
Central Park - how can you not take a walk in Central Park? There are horsedrawn carriages just opposite the Plaza Hotel opp Central Park if you feel so inclined.
NY also has LOTS for culture buffs! The Metropolitan Museum of Art is fantastic.
I'd suggest looking at this site as it has a compact list of some of the places you can visit and some hotels too :-
http://www.hiltonfamilynewyork.com/things-to-do.php