Bearcat94

Never bought a private sale used car before. How does it work?

I understand it may vary some from state-to-state, but "in general" is fine.

alex2364

You pay for tax and title when you register the car at DMV.

EL_PIC

You just find buyer or seller you can trust w right auto.
In Texas - you agree on price, make a bill of sale (include terms and conditions of both parties), and fill out
the sales tax ownership form. The purchaser takes this form
to his local DMV and pays sale tax to them. The DMV
then registers the auto in his name and withdraws the orig owner
as owner. You might also have inspections, warrany, car fax.

Bearcat94

Is an odometer statement recommened/necessary?

EL_PIC

Those should be included in your bill of sale and ownership
transfer form. Some states dont have the form.
Condition warranty and all the important T's and C's
should be in writting.