melbourne has pretty good public transport
I would be aware of buying a ticket though. Make sure you have change when you get on a tram or have bought your ticket before you travel on tram or train - as inspectors are not what I would call an asset to the state.
Make sure you have a ticket for the right zones when travelling too.
Other than that the trams are good, the trains good and buses good too.
Other states systems are run differently, so there is not such an emphasis on the inspectors and thus easier to travel without fuss or upset.
I bought a car because of the inspectors and I do always buy a ticket, they just seem to be to imposing and upset my travel. So having a car was not my choice environmentally, but solved my problems with tram inspectors.