You'll need an adapter plug that will turn your plug (US, Euro, whatever) to an Australian slanted plug... Some of them are grounded 3 plugs, but I have a 2-plug pictured here:
As far as power conversion goes... Australia runs on 220~240V AC @ 50Hz. Your camera, iPod, and cell phone power adapters should have a built-in transformer that will operate on this voltage. If you're from the US or Japan, you're running on 110V AC, and other devices (such as blowdryers) will need a voltage converter.
I don't know about your razor - check the cable or the plug next to the cable to see if it can handle 240V - if not, then it needs a converter. But real men don't use electric razors anyway...