Many congratulations on your pregnancy!
I have experience of both hospitals as my elder was born in C&W when we lived in Battersea and my youngest in Kingston after we moved. Both are excellent units in my opinion. My first pregnancy was a doddle and the ante-natal appointments were informative with no issues. My labour was uncomplicated too and we couldn’t fault the mod-wives at C&W. We ended up being able to stay in a private room after my son was born and my husband was able to stay which was amazing but I know not the usual experience of most mums. The only thing I would say about C&W was that they were quick to discharge us (12hrs post birth) where I think we would have benefitted from staying overnight but as it was our first we didn’t know at the time. They were also great when I had to come back to the hospital a few days later for some follow-up treatment.
Now, Kingston is where my youngest was born and we had a completely different experience there. After a non-eventful pregnancy, my son was very suddenly born at 31wks in an emergency c-section. He was in NICU and the neo-natal unit for 6weeks in total and I have to say that the care and treatment we were given was just incredible. From the stressful beginning of early labour to the minute he was allowed home, the doctors and nursing staff at Kingston was second to none. They kept us calm, fully informed and we never once doubted the care he was given. I know another poster wasn’t sure about the Kingston neo-natal care but I can happily confirm that it is amazing should you choose to have your baby there. The follow-up care he had was also fabulous (still going on nearly 6yrs later!!).
Obviously I had very different experiences of both units due to the circumstances but rest assured that either choice will be a good one.