I went public with #1 and also went with the midwifery group at the hospital. I saw the same midwife for my appointments, unless she was helping another lady in labour, and then i'd have her buddy midwife (still great). The nurses in the ward were fantastic, and even having to have an emmegency CS I had 2 midwifes, 3 nurses, a doctor and a pead on call to my room when things started getting serious.
I had my own room with free Foxtel TV, and DH could stay if he wanted aswell (matress on the floor). Food was average to pretty good, but had my own fridge to bring stuff if I chose too. We had a brand new special care unit down the hall from the maternity ward, which my son required and they were all fantastic. The special care nurses even looked after me when I collapsed with mastitis, and made sure I got down to emmergency ok. They even set up a room for me in the special care unit so I could be close with my little man a few days before he came home.
I've never been private, but could choose to if I wanted but can't see the cost being worth it for me. I had great care and the extra would be for extra comforts.