I went to Joondalup Private.
As Pregnor said, only the birth is covered with private health as private health funds wont cover outpatient services. You may have an excess for your hospital admission depending on your level of hospital cover (so check that). Unfortunately being private does mean you are out of pocket for obstetrician visits and ultrasounds but that's the choice you make. I liked the fact that my obstetrician had an ultrasound machine in the rooms so you get a short scan done every time to check bubs is ok. I found this very reassuring. You have to pay the obstetrician a planning & management fee after 20 weeks pregnancy and this is quite a large fee (around $2000 depending on your obstetrician). You will get a Medicare rebate on your visits and scans. You can cut down some costs by having some antenatal visits with with your GP (called shared care). It works well if you have a GP who is experienced in obstetrics care (try to find a GP who has FRANZCOG after their name - Fellow of the Royal Australian and New Zealnd College of Obstetricians and Gynaecologists).