Survey: AUSTRALIANS: public vs private?

Carolyn • Canadian married to an Aussie and living in the land of Oz.
Hi all,
​I am a Canadian living in Australia and are TTC next month. Not having grown up here I am a bit ignorant of the public vs private options for pregnancy and birth. Does anyone with any knowledge of this have an opinion either way? Even with private health insurance how much does one end up paying out of pocket? Thanks!