Hi Shazney
I run a computer business over here.
Things to bear in mind:-
Wireless router (make sure you pronounce this "rowter" rather than "rooter" when you get here!) - this will most likely have a UK transformer plug combined. You will need a UK adapter to run it off the mains over here (can be bought from hardware stores in Oz for around $12).
Computer equipment is a bit more expensive over here than in the UK.
If you have any computers which are still under warranty in the UK, the warranty may not cover them if you bring them to Australia.
It can take a while (couple of weeks) to get your phoneline/broadband connected once you arrive. If you already have accommodation sorted beforehand, it would be an idea to contact a provider beforehand. You may want to try IINET first
iiNet - Broadband Internet - Phone - VOIP - ADSL and see if they offer NakedDSL in your area so you won't even need a phone line.
Marilyn