Hiya!

Sam and I are doing the same thing. We're moving from NZ to Minneapolis in May. We contacted the airline and asked them if they had any recommendations. They hooked us up with a veterinarian who runs a business pet moving. He's going to take Boo the night before we leave, run some tests and give him a medical certificate that will get him through customs in LA. Maybe there's something similar where you are, though custom rules differ from country to country.

Good luck!