Caesars is the third Las Vegas company to charge for parking at Strip -At Caesars Palace, Bally's, Paris- Las Vegas, Planet Hollywood and. “At Caesars Palace it's going to happen on Monday and it will happen at The Caesars implementation of parking fees shortly follows the. Valet parking at Flamingo Las Vegas also will cost $8 for up to four hours and $13 per 24 hours beyond that. Valet parking at Caesars Palace. When, where and how to buy tickets? Chapels; Wedding Wagon; Vows renewals; Formalities; Photography; Proposing Helpful information: Is there a discounted rate for an extended stay? Free 1 to 4 Hours: Autos Section Auto News Dealer News REV THIS WEEK Classifieds Place a Classified Ad.