The solicitor/conveyancer I generally recommend in Melbourne is:
Grant Mackenzie
Phillips & Wilkins Solicitors
03 9480 1155
They do charge very reasonably and have a high quality of work.
I'm also very picky about the solicitors & conveyancers I recommend. When everything goes smoothly in a property transfer (95% of the time), it's all good. When small problems arise, I've found an average solicitor turns it into a nightmare.