A pretty brutal commute by bike if you ask me. You'll be travelling in some of the most dangerous traffic in the Tri-State area.
Via George Washington Bridge:
http://maps.google.com/maps?f=d&sour...,0.431213&z=11
Via Lower East Side East river crossing: You'd have to use PATH to cross the Hudson but before 6:30AM (bikes aren't allowed during rush hour).
Bicycles on PATH
Bicycles are not allowed on PATH weekdays between 6:30 am and 9:30 am and between 3:30 pm and 6:30 pm. Bicycles are permitted at all other times.
The bicycle policy applies to all types of bicycles
Do not take bicycles on escalators. Bicyclists must use elevators or stairs.
Do not ride bicycles in trains, on platforms or the stations.
Bicycles are not permitted in the first car of the train.
No more than two bicycles are permitted on a PATH car.
PATH or PAPD may require bicyclists to wait for the next train.
Hold the bicycle while on trains and do not block aisles or doors.
In the event of an evacuation, leave the bicycle on the train and ensure that it does not block aisles or doors.
http://www.panynj.gov/path/security.html
http://maps.google.com/maps?f=d&sour...,0.215607&z=12
.