booking fee
noun
1A fee charged, in addition to the basic cost, for arranging in advance or reserving transport, accommodation, a seat, a ticket, etc.
2A fee charged to register on the books of a theatrical agent or (later) an employment agency (now rare ).
3Originally US a fee charged to book an actor, musician, celebrity, etc.
Origin
Early 19th century; earliest use found in Bell's Weekly Messenger.