If you want to have an early u/s done you could go to your GP and ask for a referral, but you don't necessarlily have to have an u/s early on. Most girls don't have their first one done until 12 weeks. Another good book is "What to expect when you are expecting" I can't remember the authors name.

I would still ring your hospital and book a bed regardless of if you are going private or public.

Good luck.