We moved our dog from UK to US in December 2005, and found it quite easy. We flew American, and no reservation was needed at all for our dog - basically she was checked as an extra bag! I think the total for her flight was $100. The rabies vaccine is good for three years, I think, so since we hadn't been in the UK for longer than that, all her old testing and paperwork for that was fine. She did need a certificate from the vet to show she was healthy enough to fly. My advice would be to get copies of all paperwork done in the UK vet, along with old paperwork it took to bring the dog into the UK and bring those on the flight with you. Overall, it was about 99% easier than heading into the UK!!! Hope you find an easier way than what you've been looking at!