J.L.
Hi,
Although I know that bonding with the baby is super important, I'm thinking that before worrying about what they'll do with the baby after your C-section, you should try to do everything you can to prevent having the C-section in the first place! My baby hadn't yet turned by 37 weeks either, but my midwife at that point wasn't worried about it yet. I was concerned, though, so I read up and started to try the things that sounded like they might help. First and foremost, gravity will help your baby turn. So I laid on a home-made "gravity table", created by laying an ironing board between the sofa seat and the floor. I laid head down on my back. I'd also heard (and this sounds weird, but I did it) that the baby would move towards bright light and/or the sound of the father's voice, so I shined our flashlight "down there" as my husband gently urged the baby to turn over.
Lo and behold, early the next morning while sleeping in bed I awoke to the strangest feeling of the baby doing a somersault! That day was my midwife appointment and sure enough, he'd turned!
Just a thought. I think I'd try everything before submitting to either a C-section or external version, as I know that hte version cna be quite painful.
Another tip I remember reading, and would have tried if my baby hadn't turned: get into a swimming pool and gently dive down to the bottom several times. Again, the gravity will work to help your baby turn.
Good luck,
Jennifer.