We've decided to go with the more expensive option - Jetpets - partly because of the very friendly and warm customer service person who spent ages on the phone talking me through the process, and partly because the two vets I have spoken to and our removalists have all mentioned only Jetpets. I trust we will remain as happy once the move happens.
The extra cost is partly down to their facility in Sydney, and also the pickup in Wellington which is done by their agent, who knows the customs people and the process, rather than us fronting up in blissful ignorance, hanging around, not sure what to do next.