Sales Tax in NJ

Hi All

I'm in the process of purcasing my first Plane from a private owner.
The current owner lives in NY state and I live in NJ. I know with cars
I would pay sales tax at NJ Motor vehicles when I register and title
the car but how does the process work with Planes? I was told that you
just snd in a bill of sale and registration form to the FAA and that i
would get a bill from the state of NJ months from now?

Thanks in advance for any info

Panther

Student Pilot