Anyone have advice for me on options for surgery? Newly arrived in Australia

With private cover you can have your own surgeon however with so few available if you go public you will probably get the same surgeon.
In hospital you can go public which means a shared room and a shared bathroom whereas private is a private hospital with your own room and bathroom.
I went all public and nothing has cost me anything except for any prescriptions I took home. All testing, surgery, and accommodation was free.