what needs to be done to complete a private car sale?
You simply sign the title over to the new owner. There is info and a signature block on the back of the title itself. You don’t want the driver of your old car to drive on your tags though. This could be a mistake. New owner takes the signed title to the motor vehicles department and they issue a new title to him in his name. If it is Virginia they stiff you for some taxes while they are at it. If it was a trade you need to know the “value” of the car so they have some basis for the taxes. If it were me I would do “bill of sales” between you two giving the car a value of $100 or so. You bought his car for $100 and he bought yours for $100. That may allow them to assess your taxes lower than the true value of the car.