Something else to consider - if you do end up needing a c/s, DH may not be able to stay even if you are private. Someone correct me if I'm wrong... but I seem to recall something about the mum needing to be in a single bed that can be levered up/down and also whisked off to theatre in case anything happens? Something like that? So would partners still be able to stay, even private? Someone will know the answer to that...
in private hospitals in Perth your DH is given a rollaway on the floor if you have a single bed (c/s or not)