Nothing will take you directly from Livingston to Jersey City, except a car unfortunately. Check out http://www.coachusa.com/community/ss.commuter.asp for route information. Community Coach will take you to Newark, where you can hop the PATH train to anywhere else in JC. I too commute to JC. I generally drive in on 78 to the West Side Avenue Light Rail Station, where parking is just over $2 and take the light rail to where I work, just over $2 each way
Best of luck!