As others have said, this is a pretty straighforward trip; but it requires having a good handle on the Tides and Currents, especially in the East River. If you do a search I'm sure there are several threads on Hell Gate.
If this is a new to you boat, my suggestion besides studying the route, the tides and currents etc. , would be to make sure you have a reliable engine and of course a full tank of fuel.
Also, wait for a good weather window to do the overnight sail on the Jersey Coast.
It's about 24 hours + or - from Sandy Hook. The prevailing wind..is SW, so just about in your face..so don't be surprised if you have to do a fair bit of motor sailing.
If you catch a mild system moving through, you might be able to get some winds with a NW, NE component..
Enjoy the New Boat and have a Great trip!