I gave birth to twins at QCC last year and had the same dilemma of choice. C&W is my nearest hospital (5 minutes away from where I live, as opposed to the 20plus minutes to QCC). However, my GP urged me to go to QCC as she thought the level of care was better.
Although I made my decision based on my high risk twin pregnancy and QCC looked after me very well during a particularly panic-stricken third trimester (I had placenta praevia and recurrant bleeds) there is a small part of me that wishes I had gone to C&W as, in the end, I spent the last five weeks of my pregnancy on bed rest in hospital. Aside from Wormwood Scrubs prison next door (lovely!) and a rather sad garage shop nearby, there are no local shops and food was a problem as, obviously, the hospital food wasn't great. My husband had to drive to Holland Park Avenue 10 minutes away whereas Fulham Road has an abundance of cafes, shops, supermarkets, etc.
QCC has an excellent birth centre. I didn't give birth in it as my twins were born by emergency c-section at 35 weeks, but I did walk through to use the bath one evening and it looked pretty good. The rooms (I was on the labour ward several times during the latter stages of my pregnancy) were excellent - very clean, very spacious, and the midwives were very good. Obviously a twin pregnancy means that people are all over you so I maybe got more attention than normal but there always seemed to be lots of midwives around.
The post-natal ward was always busy but, again, was clean. I was in the private ward, which was very good (better food, nice rooms, etc.) but the normal set up was still pretty good. They had four-bed wards so not too hectic or noisy and also had several side rooms (with their own bathrooms) which were allocated on a first-come/greater needs basis - so caesarean births/multiple births, etc. The general bathrooms were always clean and so I had no need of the dettol wipes that people had warned me to take.
Several girlfriends have had their babies at C&W and really rated it for convenience and proximity to Carluccios, but said that the aftercare was pretty shocking - busy post natal wards (no private rooms unless you pay £800 per night on the private ward), dirty bathrooms (all four of them had to clean their bathrooms before they used them as they were pretty scuzzy). The midwife care was good but haphazard and they were very busy.
I think if you have a textbook pregnancy then C&W is a good choice. There are enough horror stories and positive stories about every hospital and I think if you go in expecting the after care to be not too great then you'll be okay. The ideal would be QCCs in C&Ws location, but that's in a dream world.
If I were to do it again, I'd chose QCCs as the level of care was fantastic and the hospital was clean, well equipped (it was purpose built about 6 years ago) and, whilst it has staffing issues like everyone else, the care was good.
I hope this helps and good luck with your choice. It's a difficult one I know.
K