Alder, my son was two weeks overdue and i think it was probably the best thing possible for his development. He came out with a full head of hair and able to hold his head up on night 1. Btw we had a midwife and the plan was to do a natural birth, unfortunately after 12 hours of laber she was not making any progress be ause she had scar tissue from a tumor and so we ended up atthe hospital and getting drugs. She was happy after 14+ hours of drug free labor and in the end it was really good that we were at the hospital because she hemoraged after he came out and it probably would have ended badly at home.
Anyway, not trying to freak you out! Hope you have a midwife/doula so that the docs cant pressure you into doing something you dont want. It was the best 5k we spent and my son is much healthier for it.