having sailed out of Cape Liberty for the first time last month, i find that Cape Liberty is a bigger PITA. There is no public transportation at that port, it is further away from NYC causing higher pricing for taxi/cab due to out of state pricing. in the morning after getting off the ship, it can be up to a 20-30 minute wait for a uber/lyft
i love the main NYC terminal in Manhattan, so easy to get it by public transportation. lots of taxis in the area, etc