A taxi will almost certainly be cheaper, assuming that you -- and your luggage -- can all fit into one taxi. NYC taxi fares are metered, and there is no charge for additional passengers.

Passenger capacity and rules regarding the transport of children follow:


"From Driver Rule 2-43a (in PDF):
The maximum amount of passengers allowed in a yellow taxicab by law is four (4) in a four (4) passenger taxicab or five (5) passengers in a five (5) passenger taxicab, except that an additional passenger must be accepted if such passenger is under the age of seven (7) and is held on the lap of an adult passenger seated in the rear.


• Can a passenger sit in the front seat of the taxicab if no room exists in the back seat?


From Driver Rule 2-43b (in PDF):
The Taxi and Limousine Commission's (TLC) rules state that a passenger who is unable to enter or ride in the passenger part of the taxicab must be permitted to occupy the front seat alongside the driver."

My biggest concern would be whether all of your luggage would fit into a single taxi's trunk.