I've been MIA awhile due to kids schedules and work but I handle cargo for a large airline and would suggest you find an airline that will allow the pet to ride on the main deck of the aircraft with you. A lot of cargo hulls are not pressurized/temperature controlled and when you transport a horse the are sedated and ride on a converted main deck of the aircraft. I wouldn't suggest sedated an animal the size of our loveable Hav's because it slows the breathing down and would put to much stress on their little systems. I believe that American moves animals on their flights and possibly Quantas. Each airline is different as well as the countries which I am sure you are finding out. I know that Air France allows pets in cabin. I hope this helps and good luck with your move, I believe I will over in IE in May but nothing has been finalized yet.
Shelly Mom to Iliana, Michael and furbabies: Kipper (Hav), Sadie and Cleo