How to decide on your gynaecologists and private/public hospital?

I dont know what I want ? I dont have any preferred gynae in mind, or hospital at the moment. I'm just worried to spend a lot if I choose private. I heard that a child can spend more than 10k if choose private? At the moment, I went to polyclinic to get referral letter to KK to do the 1st scan. However, I still have not decided whether to stick to Kk or what. Why do you choose certain gynae or certain hospital ? And, does that gynae that u visit everytime will also deliver the baby for u?