You MUST,
MUST practice your soldering for a while, first.
Pick up a kit from your nearest hardware/electronics store (I wouldn't know what the Australian analog of Sears or Radio Shack would be), and make sure it's a kit that comes with a few tools,
especially a clip-on heatsink (looks like a short, flat, spring-clamp pair of tweezers). You can clip the heatsink onto the wires of the sensitive components you'll be soldering to absorb a little more heat. If you don't already have a multi-meter (volt-ohm meter), pick one of those up, too -- you're gonna need it.
Once you've got your kit, practice, practice, practice. Use some scrap wire to familiarize yourself with how long you have to heat something before the solder will "stick" and practice soldering some ends together until the result looks nice & smooth. I recall having come across a few links in the forum for soldering instructions (here's a good one
http://tangentsoft.net/elec/movies/ courtesy of Phoenix77), so spend a lot of time in the help & repairs section. Use your new multi-meter to test the resistance on your solers to make sure you've got a clean connection: the readout shouldn't change when you apply pressure to the solder (pulling/jiggling it).
After you've mastered the basics, find some discarded 'cheapy' electronics (old LED lights, anything you might see in a bin on the street that someone's tossed) and practice de-soldering and re-soldering the components (you might also manage to fix some trashed electronics, while your at it -- but that's just the frugal Scottsman in me talking). While your at it, practice using your meter to test out the various circuits you're salvaging -- if a device isn't working, see if you can figure out where the fault is.
After you've got all that down pat, you should be able to fully benefit from the step-by-step tutorial on how to assemble your kit.
Or you could find another member in Australia who's willing to put it together for you.
