
Alternatively you could look at taking him with you, cheaper and it is you that have him until the cargo handlers ask you to bring him to them before your flight is called, and he is delivered to baggage claim the other end. Your and his papers checked and you walk out of the airport.
This option also means less time in his crate, no trying to find the Cargo place to pick him up. This took ages for my friends to pick up the puppy I sent them, being sent from pillar to post, yet it was easy peasy when I had arrived with her mother myself a few months earlier.