As all the others have said, its a shitty commute to most places in NJ, and unless your job is in Newark or JC, the chances of you being able to take mass transit door to door is virtually nil. At the minimum you are already looking at 2-3 connections, and a long ass ride as is even if you did work in JC\Newark.

If you work in NJ, the only benefit of living in the city is, well, you live in the city. If you are already living in the city, there are tons of jobs available to you within the city that will be a very easy commute.

Also where you live in brooklyn or queens matters. There are places 10 minutes to manhattan with a subway right outside your door, and places in the far boonies which are like hour rides into the city.