Ahh Australia. Shouldn't be too hard to go from a commonwealth nation to another. Basically anything that Britain touched is easy to transfer between, well except India, the Middle East and Africa.
Except the US...I want to be a permanent resident there but it's a lot more difficult. (I am aware it isn't commonwealth but you said British touched...the red coats did about of "touching")
well I was hinting at that. The US is definitely the hardest place to get into. It's still a lot easier for people from common wealth nations than from say Mexico or China though.