As far as I know, the airlines are quite accomm

As far as I know, the airlines are quite accommodating as far as pet travel goes. Every country has slightly different rules on transporting pets. Some might have a quarantine regulation while others are more lenient in that regard.
 
Each country has their own rules but you will not be the first person to transport a pet to an international location. There is a system in place and it’s a matter of getting the facts on the location you are going.