We moved from UK to Sydney last year. We used Crown removals. Really good service. It was based on volume rather than weight, so I measured out roughly the size we would need and ordered that. After, we got a refund from Crown as the final volume was less than we ordered. A bonus was that we didn't need to pack anything, they turned up and boxed it all up, packed it really well. In Sydney they would have unpacked it and taken all the boxes, but we just had it stored in a friends garage, so they left it all in the boxes. They did unpack and rebuild the bikes.
We didn't have any furniture, but lots of records, books and kitchen stuff. We sold all our tv/stereo equipment and donated a lot of stuff to charity after having a clear out.
One good tip, bring over some UK extension sockets. Then you can just change the plug to a Aus one and use all your UK gadgets with UK plugs.