Passengers who approach the Delta Manage Booking services have access to extra services such as car rentals, hotel reservations, and Delta Vacation Package reservations. When you book a self-driven car through Delta AirlinesĀ manage booking department, you can save up to 25% on the overall booking value. Car rental deals from Hertz, National, and Alamo are available through Delta Airlines. With every car rental reservation, passengers can earn rewards.