Georgesgran
Have you thought about ‘webuyanycar.com’? All done in one go - and you can get a rough estimate of what you’ll get before you take the car to them.
Granted, they’ll knock the price down for scratches and dings, but it solves the problem of time wasters and tyre-kickers.
It’s what I did with DH’s 4x4 after he died, as I couldn’t face selling it privately.
I used them too when I got rid of my elderly car, they offered the best price of anyone, even better than the part-exchange on my new car. Be warned though, as Georgesgra said, they might knock a bit off when you take it in.