Mileage and age will determine the aspects of selling in the various ways.
I sold 2 cars this year. Both over 10 years old. One 200K+ and one with super low mileage for the age.
Both sales were from my neighborhood Facebook page (not FB marketplace).
I took lots of pictures, including the original window sticker with the list of options, and screen shots of the KBB private seller range. Described the good and the bad in a "no surprises" approach. I put it on Craigslist, and FB marketplace, and just a post in my neighborhood FB group (neighborhood has 350 or 400 houses). The junk inquiries were mostly FB marketplace and some Craigslist. One call from some scammer... tried to convince me to take some payment scheme instead of "standing in his bank" as outlined in the ad.
The high mileage car got dozens of "is it still available" inquiries, even though the first words in the ad were "If you are reading this, it's available". And dozens of "will you take X", where X is half of what I'm asking (finally I changed the ad to include "no, I'm not going to sell for a fraction of what I'm asking", but that didn't change the number of those messages).
With the high mileage, cheaper car, I finally got exasperated and put another post on the neighborhood group and said "if you live in the neighborhood, you get a 15% discount". I wanted to deal with a level-headed person, and selling an inexpensive car, I was seeing that the inquiries were from people who seemed hard to work with, for various reasons. When a neighbor comes to test drive, I was totally chill. She wanted me to take a picture of her driver's license and to park her car in my driveway and all this stuff, and I knew of her, and where she's lived for decades, so, no problem. Drive it around, over to your mechanic, bring it back tomorrow, whatever.
CarMax would not make an offer on either car (too old). And the online quick offer things were about 1/3 of what I ended up getting. I wanted to offer a win-win deal, and I think I did. Got the KBB private party price, on the low side, but dealing with neighbors, it was low stress.