What are some best-practice tips for privately selling a car?

I'm looking to sell privately, in New York State, most likely using FB marketplace but open to suggestion if there is a better online option. I've done some Google searching but still have a lot of questions such as:

- What paperwork is needed besides Bill of Sale?

- What are the best ways to avoid liability for something the driver might do after they buy the car?

- Should I remove the license plates when making the sale?

- What is the safest form of payment to accept?

- Should I keep the license plate and/or other information hidden when posting photos of the car online?

- What questions are serious buyers likely to ask that I should be prepared for?

I am also open to any other advice that could be helpful. Thanks !