I had 1 induction and 3 home births. Ds3 was born on Friday last week, at home, and was a BIG baby - 10lb8 - and his shoulders did get a wee bit stuck, resulting in some swift manoeuvering by the mw to get him through the pelvis. It was fine, but was an anxious moment - involved her thrusting my legs up to my ears and pressing on something to get him through, and I think she hooked his arm through as well. So a scary thing looking back, and I did feel utterly unable to walk for a couple of days, as if my pelvis was broken in two!
So induction - I had this with ds1. I went in 10am Saturday at term +12, was monitored for an hour or so, after all the usual checks/exams. Had the prostin pessary, then further monitoring. After an hour or so I was taken off the monitor, and able to walk around - I think I was essentially in labour before they stated with the induction, so things progressed q fast. I had a bath, and was having significant contractions, asked to go to delivery suite for pain relief, was told they were 'busy' and I wouldn't be in established labour yet...but on examination was found to be 5-6 cm. So they wheeled me down to delivery. I was quite shocked by how fast things were going, and requested an epidural which they duly gave me. This did slow things down, but was a great relief at the time! This was about 1pm or so.
Ds1 was found to be in some distress a bit later on, they did blood samples from his head and decided to 'let' me try and deliver him normally. He was posterior lie, and although he did eventually turn, it was quite drawn out. He was born at about 7pm.
If you have had shoulder dystocia, and big babies, and SPD, I would be quite wary of an induction, as this can increase the risk of shoulder dystocia, and especially if you have SPD, it would be difficult and painful if they needed to manouevre you to get the baby through. (Forceps wouldn't help - it's getting the baby past the Symphisis Pubis bone I think that is the problem, and is only evident after the head is out - they 'turtle' their head back into their shoulders). So if you're not totally against the idea of a CS, I would ask if there is ANY way you can go for that option. Having had ds3 get a bit stuck, it wasn't fun, and was scary, and can have serious consequences.
Hope that isn't too 'doom and gloom' - ds1's induction was in the grand scheme of things 'ok', but very clinical.