We used the services of MDS Parc for a trip from Lyon St Exupéry Airport. The service is impeccable. They take us to our terminal, pick us up upon arrival, and our vehicle is parked in a secure area monitored day and night....60 euros... Attached is their card. You can find cheaper options at the remote parking + shuttle, but the car is not monitored and it is less convenient. It is a large organization with 700 vehicles parked; it is not a small "dubious" organization but a serious one.