Hi everyone!
I'm new here and am about to purchase my first car in Oz!!

I found this amazing Landcruiser from 1989, registered in WA and the seller wants to let it go for a very good price.
The car's in a good state but might not have been checked every year like they are in NSW.
How can I buy this car without registering it in NSW? I don't think that getting a blue slip for it is a real option...
To my understanding, all I need to do is renew the WA rego over the phone/internet, give them a garage address there as well as my current postal address in NSW.
So I won't even need to go there.
Am I mistaken here?

Note that I've been in Sydney for 1 year on a Work visa (not permanent resident), I'm not under a work/holiday visa like most backpackers.
Thanks a lot!
Ps. On an unrelated note, how important is it to have A/C in the car to travel around the country in the summer? Can you do without it?