Synonyms for Booking:

n.

curtain raiser, display, double bill, debut, command performance, performing arts, double feature, gig, act, draw, appearance. check out, bookable, late checkout, guest, homestay, check into, patron, check-in, book in. act (noun)
engagement, reservation.
booking (noun)
engagement, reservation.
engagement (noun)
gig.
registration (noun)
cataloging.

v.

listing (verb)
listing, Noting, Digesting, Auditing, itemizing, budgeting, recounting, accounting, recording, Totaling, Journalizing, Tallying, Registering, detailing, summarizing, filing, collecting, indexing, Tabulating, scoring, cataloging, scheduling, Checking, Storing, Invoicing, inventorying, documenting, counting, Chronicling, Tabling, logging, Enumerating.

Other synonyms:

check into, debut, late checkout, curtain raiser, homestay, double bill, double feature, command performance, appearance, book in, bookable. draw, check-in, gig. check out, patron. display. act, guest. Other relevant words:
debut, draw, homestay, gig, guest, reservation, appearance, act, bookable, display, engagement, patron.

Usage examples for booking

  1. Emerson told him he must beware of finding and booking it, lest life should have nothing more to show him. – Ways of Nature by John Burroughs
  2. It was the first time Mr. Author had seen even the waiting room of a booking office- it amazed him by its busy air. – Writing for Vaudeville by Brett Page
  3. " I do not mind them," said Deulin, passing through the doorway to the booking office. – The Vultures by Henry Seton Merriman