Congratulations :o
You can get some comparative data on different hospitals here. You can get all manner of statistics like CS rates (elective and emergency), home birth stats, number of pool births, etc - although they don't make any interpretation of whether the unit handles a higher than average number of complex cases, which could impact on the stats.
Did the Dr give any indication as to why he'd recommend QE?
At this stage I'd read the pages on the site above, read the hospital's own pages on their maternity services and get a gut feel of where you feel more at home. You can call the hospital and ask if its possible to go on a tour of the labour ward, but many try to restrict visitors (often as a means of infection control) and don't allow you to go till you're well into the 3rd trimester. I'd also consider the journey you'd need to make at different times of the day/night - is one unit much more practical?
You need to give them a preference so that they can use the right set of notes and (usually) so you can see MW's from the appropriate team - but you can change your mind at any point during the pregnancy if you decide you made the wrong decision (they may not like it as it will mean more paperwork, but at the end of the day that's not your problem - you need to focus on getting yourself into an environment where you can feel safe and supported during the birth of your baby).
(There is an option of an Independent Midwife, the price for which is likely to be nearer £3 or £4k. They provide continuity of care from now through to about 1 month post partum and will either support you in a homebirth or can accompany you to hospital, usually in the role of a birth partner/supporter/doula. Not the right option for everyone, but I found the continuity of care and level of care to make a huge difference to both my experiences of pregnancy and birth)