First of all, welcome to Ludlow and NEW YORK CITY! If you have just moved in and in a major city like New York for the first time, there is a certain feeling to go and do those classic touristy things.
So... here is a list of fun Touristy things to get that out of your system... then cooler stuff that gives you a different and fun perspective of New York.
Tourist ToDo List:
1) Visit the Empire State Building
2) Dominique Ansel Bakery
3) Circle Line Sightseeing Cruises
4) Downtown Manhattan (Canal Street Area)
5) Rockefeller Center Iceskating
6) 5th Avenue -- For shopping
Alternative (New Yorker) List:
1) Sunset Park
2) Peter Pan Donuts & Pastry Shop
3) East River Ferry (Other other Ferries!)
5) McCarren Park or Bryant Park Iceskating
6) Brooklyn Night Bazaar
Here are some others.