Only tried to sell one car years ago on eBay. Was a parts car MG1100. Car sold for something like $200 or so (started of at $25 just wanted clear of it). Then buyer emailed and backed out. Paid the eBay fees for me so that was okay I guess. I've mostly sold parts and bought stuff on eBay. Knock on wood, but had very few problems with either. Did have a video I bought look like it was not going to show and no real response from the seller. Luckily just showed up. Seller waited 10 days after payment to bother to even ship it by Media Mail.
Not tried to sell another car since on there. I'd try your local Craigslist first. I've had pretty good luck selling off big stuff on there. You never know, someone local might snap it up and that would save you the potential deal of dealing with someones shipping company etc. Although, if you have a Dependable Auto Shippers depot near by they can be really economical to ship for someone. I used them to get the Dart here. Worked well for me and was super cheap. I could not have gone out there and back for the money they charged to transport. They are online if you end up needing them or are interested. Buyers responsiblity to work on shipping, arrange it and pay for it.
A mate of mine lists a few cars on eBay. Has okay luck with it. There are those that will bid them up to the sky just for fun and then you never hear from them. He says that he has sold very few if any on eBay offically as the majority contact after the auction and work a deal from there. He mostly uses it now to just advertise cars nationally and the fee charged he just counts as a national advertising expense like putting it in the paper etc.
Used to be $50 flat to list for a viable car. Don't know what it is now. If the car is just a parts car then eBay as some definite restrictions on how and what can be listed. I'd have a read through them before listing.
If you do list then make sure your pictures are very good. Not at night, car half hidden in the garage, under a ton of leaves, tarps and crap, picture of the car with half of it not in the picture etc. Oh, and don't fiddle with the picture in any way as people see this and it can put a distrust in the potential buyer's mind about your listing and they won't bid. Describe as well as you can. Encourage questions and to email if they need any close pictures of anything.
Be sure to set out your payment policies. Many require a PayPal or the like deposit right away with the balance to be paid by whatever method you are comfortable with. Also have a period set that the car must be moved. You also might want to make sure that they know the auction is to buy the car not to come look at it. That is where the others requiring a non refundable deposit probably comes in.
Best of luck with it.
Cheers