A Coronal Mass Ejection observed on 9 July is expected to arrive on 13 July around 1600UT (that is around 2am AEST 14 July). See the IPS alerts here.
As usual there is some uncertainty, and the impact could occur earlier or later. Unsettled to Minor storm conditions are predicted for high latitudes (Tasmania, Southern New Zealand, Australian Antarctic Territories) tomorrow and the day after (Saturday 13th and Sunday 14th). Although high latitudes are the best bet, the last two auroral shows were seen in Victoria and WA, so keep an eye peeled.
Aurora can strike any time, although it appears the early morning or early evening of the 14th is favoured. Look to the south for unusual glows, shifting glows or pillars of light. Some idea of the sorts of things it might be possible to see is http://astroblogger.blogspot.com.au/2013/07/images-from-saturday-nights-aurora.html
The waxing moon is unlikely to significantly interfere with seeing any aurora, but dark sky sites have the best chance of seeing anything.