Most places don't charge an overnight tie down especially if you buy fuel. Signature at Las Vegas is the only one that I have encountered. Don't expect to fly into LAX at all, they don't accept bug smashers. Catalina (Avalon) charges a landing fee but it's a private airport. The USA generally doesn't charge overnights or landings but check out the airports on
www.airnav.com for fuel and landing charges.