I was diagnosed with the same thing (now in week 31), and also had a bit of a panic on! It is a comparatively rare complication, as you've pointed out, but actually I discovered that two other women I know had had it, and had caesareans as a result . Both ladies had lovely healthy babies. As for the caesarean itself, some women recover surprisingly quickly. A caesarean may seem daunting and there are horror stories all over the internet, but plenty of people opt to take it over natural birth when given the choice (another pregnant lady I know is in this position). In any case a friend of mine who has had one said the most annoying thing about it was that getting her flat tummy back was the worst thing about it!
I personally have not had any difficulties so far (she says, clinging onto wood like mad).
My advice is to
-take extra special care of you and your bump
-don't be afraid to go to/call your labour ward if you have any concerns at all! To begin with I was reluctant to do so, not wanting to bother them, but my husband told the midwife who set me straight. The hospital would much rather deal with a non-issue than have something go wrong because you didn't dare call. I went to the labour ward over a pain that I suspect now was probably trapped wind and they were absolutely lovely about it, and very emphatic that I go back if I was worried again.
Fingers crossed our placentas will move any way, and if not it will all go smoothly.
Good luck and take care of yourself!