I am from Adelaide. I went Private, so probably no help in that way. My Mastectomy was in 2020.
But I agree with Julez1958. re her advice re those internet sites, and the main choice being implants or your own tissue.
Having said that, I initially wanted the DIEP. But not everyone is suitable. I wasn't. I have recently had a Lat Dorsi. I'm still having tissue expanders filled.So far I'm quite happy with my results. I am so happy just being symmetrical. All the best. I hope some one can help you with how to proceed in the Public system. Do some research and write down any questions that you will want to ask when you get an appointment.