I am planning our first trip to NYC in mid-August. There will be 7 of us (4 adults & 3 boys (ages 14, 11 & 9). We be arriving on Sat morning (around 10am) and will be staying at Fairfield Inn & Suites in Long Island City. Planning to use NY's subway to get around. We be staying in NYC for 4 days and then will be driving to Atlantic City. Below are the places we wanted to visit and need help in grouping them together since we don't know where they are located. Also, the first day, we hope to leave our luggage with the hotel, so will expect to need to go back to the hotel in the afternoon to check-in.
Central Park - I know it's a very large park.. but what is there to do?
Top of the Rock Observation Deck
Nintendo World NY - think the boys will love this
Statue of Liberty
Grand Central Terminal
9/11 Museum /Ground Zero memorial - is this the same or different places?
Highline - what is there to see?
State Island Ferry
Metropolitan Museum of Art 5th Avenue
Empire State Building
Lower Manhattan - what other places in here that is not included from above?
I need help with grouping these places together to visit. Would appreciate if someone can give some suggestions. Are these enough to cover the 4 days?