Oh wow, you're going to NY?! Not sure if you have time with your family but do you know Woodbury Common outlets? It's about 1hour shuttle bus ride from Port Authority Station near Times Square, and is a massive, massive outlet. Had Celine, Dior and other high end outlets when I went years ago.
The shuttle bus is quite comfy too.
There are high street outlets there too.
You have to prebook the shuttle but it was a reasonable rate per person (though would add up with more people), and you get a discount voucher book for many of the stores, too.
Wish there was LV Outlet

Woodbury is so big, it easily takes a whole day out of your trip, too.