Look in your Yellow Pages under "Balancing Equipment &/or Services", which is where you'll find a tailshaft balancer in Adelaide.
Nine times out of ten it'll be a uni joint that goes, and often the diff end first, as it cops all the road grime. Always fit a new pair of uni's though, because if one is gone, the other will usually fail soon after.
I've never bothered to get a tailshaft re-balanced after changing uni joints, but some might feel it worthwhile.