Dyson, not being a Melbourne resident I am not sure of what is near you, but there are plenty of clubs. I was over in May, at the Mornington peninsula club very helpful people. We had a ball I conducted workshops. Which is always fun, and what you need to do as soon as possible
I am sure they would make you welcome. By your comments transport might be a problem.
Now to your tree it has very few branches at the moment, and the first and second ones up the trunk are opposite and coming off at the same level.
This will cause the trunk to swell at that point which is not good.
What Mitchell has shown to do is fine. However you will have to make a choice as to which branches to keep. The thicker ones low on the tree and getting thinner as you go up the trunk.
I hope that helps in some way. Oh by the way welcome to the affliction, enjoy yourself and be rewarded with nice tree's.
Cheers

Pup