Hi there. I had three ICSI cycles at BH - one frozen and two fresh, on the NHS. Just thought I'd add my perspective. I have found them pretty good overall although there were a few things they didn't tell me about until I asked. These were to do with 'extras' you can pay for yourself while having most of the treatment NHS-funded -things that may improve your chances such as endometrial scratching and embryo glue. During cycles I felt pretty well monitored and well looked after. I think you do have to be a bit proactive but there is a lot of information around IVF that would be totally overwhelming if someone told you it all in one go. The counsellor who works there is good as well.
Their 'slogan' is something like 'each person is an individual, each treatment is unique' but I didn't feel that the treatment I had was especially tailored for me. I think for the first cycle they have a standard protocol chosen because it works best for the largest number of people, and then after that it is tweaked as necessary. But the standard one worked fine for me so no tweaking necessary. I was well sedated for egg collection and embryo transfer was always fine. They gave me anti-nausea medication for the second egg collection as the first time I was really really sick afterwards (anaesthetics / sedation don't agree with me). Embryology were happy to talk through the progress of the fertilised eggs in the lab, which I appreciated.
One of the annoying things was that we have seen several different consultants there rather than building a relationship with just one person - although it probably would have been possible to have the same person throughout if I'd been prepared to wait rather than just asking for the next available appointment. They were all fine though - some more business like than others but then you don't want a new best friend, you want someone who is good at their job. I think their success rates are pretty good overall although I haven't compared them recently.
And finally don't underestimate the impact of travel - BH was by far the nearest clinic for us and during stimulation you have several scans. It meant that I could fit my work in around the treatment and if I'd been trekking down to London or across to Oxford it would have been much more difficult (and hence more stressful, and the whole thing is quite stressful enough as it is).
I did get pregnant once there but it ended in m/c (not their fault at all) so this broadly positive review isn't from someone who forgot all the bad bits immediately after having a baby!