Intrastate In-Transit Permit – The permit is valid for 30 days and allows you to transport a vehicle from one location in NYS to another location in NYS. For example, you need an intrastate in-transit permit if you buy a vehicle from a seller in another part of NYS and you need to transport the vehicle to your home before you register it. The fee is $10.
That was right from the link you posted. How hard is that to understand?
Ugh… you buy car… ugh.
Ugh… you pay $10 for transit permit… ugh.
Ugh… you drive car home, permit good 30 days… ugh.
So easy, a caveman could do it. 