Most airlines have a specific desk for live freight. You can call the airline number at your airport for directions. Be sure to tell the receiver to do the same at their airport and to be there by the time the shipment is scheduled to arrive. It will be required that you fill out an airbill. You should always get a health certificate from your veterinarian.
Some states require a permit.
Your vet will have this information. The shipping box is very important. Mine are made of plywood. They should have a sloped front so they won't fit flat against another box. This allows them to always have air.