Hi Isil. I had my DD privately at the Royal Surrey.
The cost was around £5,000 including a private en-suite room. It was very expensive (paid for by insurance). The fees really add up, with separate fees for blood tests, epidurals, call-outs, scans, etc.
I didn't particularly rate the private room I had, very shabby and small for the huge amount of money that wanted per night. I would have a private room again though, it was very peaceful. I also delivered in a standard NHS delivery suite there, which was fine, bit scruffy in comparison to other private hospitals, but to be honest, I didn't care.
I had a private obstetrician/anaesthetist who did the delivery and an NHS midwife (well 3 actually, labour went on for 32 hours), so can't comment on the NHS doctors, but the midwives were excellent. My obstetrician was great and a had very good care throughout.
The food was terrible and after my long labour finished at midnight nothing was available.
The Royal Surrey has a great reputation and I chose it over some of the posher hospitals, like the Portland and John & Elizabeth as it has better facilities in case of emergency. I also decided to stay with the Royal Surrey after we moved to Kingston as it's reputation was so much better.
Congratulations on your pregnancy and move to England. I hope we help a little bit