Enchanted Princess, it will be Brooklyn Cruise Terminal.
https://www.brooklyncruiseguide.com/cruise-calendar.html
That's not a good idea for this port.
LGA airport hotel + Princess transfer (or an Uber) is the best option if you don't plan sightseeing Manhattan before the cruise.
If you travel with 4 people, a (large) taxi or Uber is way less expensive than booking 4 Princess transfers.