My recommendation is that you buy the New York Pass if you intend to visit many paid attractions as possible.
You can save a lot of money on tickets and tours because, with this card, you can enter for free at about 80 attractions.
It's the best way to start your visit as Times Square is situated in the center.Another option is to book a free walking tour and get to know the neghbourhood.
On the way through the entire area of lower Manhattan:– Battery Park,– Financial District,– Tribeca, Chinatown,– Little Italy (eat a real pizza!)– Soho, etc.
New York is not only famous for its skyscrapers but also for shopping. One of the best outlets to buy all year round (and the next) is the Woodbury Common.