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Omega Centauri is a bit awkward at the moment - it rises at 04:50 am and sets at 09:33 pm (September 22 Brisbane time), so you'll only get a very brief window of opportunity, very low in the south-west, early in the evening.
47 Tucanae is almost as big and spectacular, and is much better positioned for easy viewing high in the southern sky (about 40 to 45 degrees above the southern horizon through the mid- to late evening).
As zeroID said - get yourself a planetarium app, program in your location, and it will give you a detailed list of good targets each evening. Stellarium is a good choice for a computer, but something SkySafari is brilliant for phones and tablets, which is really handy for a guide outdoors while your are observing.
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