Accepting payment when selling a vehicle?

I have not sold (nor bought) a vehicle or other high value item via private sale in over 20 years. My newest vehicle is 13 years old. Except for a very low value used car a bought a couple of years ago, my last several ones had been purchased new and kept many years.

I have a travel trailer that I'm considering putting up for sale and have been wondering the best way to accept payment. I don't know exactly how much yet, but it will likely be in the $11K-12K range. I'm not comfortable taking a personal check, but really don't know if I would trust someone to bring a "Certified" check or bank check, not knowing if it would be a counterfeit or not. I expect most people would not bring that much cash to purchase, and not sure if I'd want that either. I know several of you have bought/ sold vehicles privately, how have you handled this? I have thought about letting a potential buyer look at it, then meet them or follow them to their bank to transfer funds directly to me at that point and then sign the title over. Any suggestions or other ways to safely handle the transaction?