australia is a bit funny when it comes to FAA-CASA conversion. Best to find a flying school/club and get your licenses there. Then take it on from there. You will meet people, learn how things work in Oz. Almost 80% people I trained with had to move up north or do FI course and stay within the GA system for several years before moving into big aircrafts.
Enjoy the flying, its fun and sometimes boring.
Samdaman