Skybus is how I did it a couple of years ago. Pretty exciting stuff though, they don't poke along slowly and unless you are first on board there is a good chance you will be standing up.
skybus
southern cross station (spencer street in the old days) is western side of the cbd, tram down burke street and or a walk will get you most places in cbd in 15-20 min.
And there is also the free "city circle" tram that runs around the cbd that you can hop on and off from.
Should be able to pick up details on it from information at Southern Cross.
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