If you're shipping a vehicle with you when you move to Australia then read this update regarding new rules about asbestos on vehicles, announced by the Australian Customs and Border Protection Service:
Shipping vehicles to Australia: new customs rule for asbestos
My best pall just did this - he used Legend Removals - really helpful and are part of a worldwide network of shippers. The guys that came to prep his Chevrolet were brilliant and the experience was good - admin and presales all good too.