Hi, I can give some feedback on the Lister. I don't recognise the other acronyms! But I did also go to Chelsea and Westminster ACU.
Lister:
Lovely clinic. You always get scanned by the same person, although you will see a range of nurses. They always seem to know your history, so no need to keep reminding them of x or y. The consultants are very nice, and realistically optimistic, which is important to me. The EC is done under a general, and on that day you get a room to hang out in. Plus lunch afterwards. I've been in lots of hospitals recently, and I can tell you the food at the Lister is excellent!
Personally I love a good general, so it's worth it to me. It's a very mild general (a 'twilight') so the recovery is quick and easy.
On the negative side, I didn't get pregnant there, but really for reasons outside their control. I have a dozen frozen embies there as there were two incomplete IVF cycles. Both stopped at EC stage.
It's pricey, but I think consistent with London prices. One slight annoyance is that blood tests aren't included in the fee, so you end up paying £50 each visit for the oestrogen test. Which is about 4-5 times.
They don't do EEVA or embryoscope.
Open long hours, so I could normally get my scans done at 8.30ish, which is good for work.
C&W ACU: Much smaller clinic. There were only 2 people on my EC and ET days. Different scanning person each time, but as there are only 2-3 nurses you see the same one most of the time.
EC done under sedation. No EEVA or embryoscope here either.
Harder to get appointments. They always seemed to be at 10am, and it's an annoying location. Plus the pharmacy takes AGES - like over an hour to get a bl**dy script done! But, I am pregnant!! So all is forgiven. I actually prefer C&W in the end, smaller, but feels a little more personal.
Sorry for the essay!