Hi OP, congratulations!
I had DD1 at St. Peter's in 2006. I was induced, and although the induction gel was supposed to be applied every 6 hours, it was more like 7-8 hours - midwife too busy, and "not keen on intervention".
I remember asking MW to help me with TENS machine and she said no, as I should "save it for when I really need it". Same response for gas and air. Paced around until 11pm when my waters broke. I kept mobile, but eventually begged MW to examine me at 4am when the pain was unbearable. She relented, found me to be 7cm dilated and got me up to labour ward (a room had only just been made available).
I asked for an epidural but didn't have one, as the anaesthetist was unavailable. I had written in my birthplan that I didn't mind being attended by students, and was therefore lucky in that I was attended by students for most of my labour. Didn't see a qualified midwife (apart from her popping her head in once or twice) until about midday, when dd was stuck (and had been for some time), meconium, and in distress. Had an epesiotomy very soon after that, and dd arrived. She was sent to SCBU immediately, and stayed there for 2 days, then 3 on the post-natal ward with me in transitional care.
SCBU was fantastic. My Mum wonders whether dd would have needed to be there at all, if there had been more "experienced" attention paid to me during my labour. I'm pretty sure if I had refused students I would have been on my own with dh for most of the labour.
I was put in a private room for the 6 days we were in, at a cost of £75 per night. I had BF sorted by the time I left, as dd was in transitional care once she left SCBU and therefore had a dedicated nurse, whom I buzzed everytime I needed to feed her.
If we hadn't moved, I'm not sure I would have chosen St. Peter's again. However, I don't know anything about the other hospitals in the area.