You can have different experiences from the same starting point.
Leigh's place is just a few blocks from a path station which takes you directly to WTC. From that site, you can explore NY.
But, if you have already walked too much in the Big Apple, and want to experience a more cozy and calm environment, take your time and explore the friendly downtown in Jersey City. Walk trough Newark Av, between Grover St and Eire St, get a coffee or a beer, take a seat, and relax.