Typically from VDA (Ovda).
They call it Eilat, but it's not.
I'd like to hear someone that actually traveled from and/or to that airport.
It is my understanding that only a bus travels to and from, no taxis, rental cars, etc.
I did travel from there mostly to see what it's like.
They have free parking and it is advised to drive there, park and drive back. The drive from Jerusalem is about 3:30 hours according to Waze.
I was planning to drive but my return flight was canceled and I was re-booked on a flight to TLV. Don't take the bus!!! There is no direct bus from Jerusalem as far as I know so you have to take a bus to Beer Sheva which isn't bad (takes about 1:20 hours) but than you have to take a bus that is meant for all the army bases in the Nagev and happens to stop by the airport since there is a base nearby. That bus stops by EVERY SINGLE ARMY BASE from Beer Sheva to Eilat and there are tons of those things! The ride from Beer Sheva to Ovda took us close to 3:30 hours! Mind you that near the airport means a 10 minute walk in the blazing desert heat with all your luggage. I think eventually someone saw us walking and gave us a lift.
The airport itself is pretty small, check in and security are relatively fast, there are a few duty free shops and you can keep on dreaming about a lounge. A cool thing about the airport is that they don't bus you to the plane but rather, the plane pulls up almost to the building, they open the doors and everyone makes a rush to the plane.
All in all, if you get a great deal and have a car and don't mind driving 3:30 hours each way, go for it. Otherwise stick to TLV.