Badprop, it would be pretty expensive and a real round-a-bout way of bring your pets to NZ. Firstly NZ quarantine is 120 days and Oz is 210 days, then you have the extra cost of flying your dog from Oz to NZ, then you can also not visit your dog unless you intend flying to Oz to do it.
Much better to go the normal route of sending the dogs to NZ, using Keringa or Kookebura.