Congratulations! I would also avoid Royal London - very big and very old. Plus I have a friend who had a very bad experience there.
I just had a baby at Homerton and would recommend them. They have a new birthing centre (although I didn't last long in there before I realised gas and air wasn't going to cut it for me). I was given an epidural and pethidine very quickly after it became apparent I wasn't coping with the pain - this was on a Sunday night with very little staff around, and it's something to bear in mind as sometimes you don't get the relief when you need it.
When the baby finally appeared on Monday morning he was delivered by an obstetrician who I was apparently very lucky to get. He did a great job on my stitches and I healed well. The staff generally seem to enjoy working there and get along well, which is important when you're in such a vulnerable situation.
Afterwards I had a lot of help from both the midwife and the lactation consultant to establish breastfeeding, and upon leaving I was given a 'birthing debrief' when I was able to ask questions about a few things and get answers from a midwife.
My only real complaint was that I'd consented to medical students on my birth plan and a few turned up right at the pushing stage without being introduced to me - I would have allowed them to watch but it would have been nice to be asked. I did bring that up with the midwife at the debrief and she said it wasn't what should happen and she would bring it up with staff. Having said that, if I hadn't had the students I probably wouldn't have had the consultant who was teaching them, and given that I needed forceps and stitches it was good to have his expertise.
I was told it also has a lower CS rate than other london hospitals. It's not the most attractive building but as far as the service goes it is worth a bit of grottiness, and it's a small hospital so has a more intimate feel.
I also found the antenatal care excellent. The sonographers were lovely and at one point I turned up for an appointment from my GP I didn't actually need and the midwife talked the doctor into giving me a 'bonus' scan to make it worth the trip - really nice to see the baby one more time before the birth.
I then ended up back there with swine flu and pneumonia for 11 days five weeks after the birth and again the staff in A&E gave me excellent care, quickly worked out what was wrong and looked after me really well. I really do think it's a great hospital, as you can probably tell!! Of course everyone has a different experience but I have also spoken to lots of women at a mother's group who had their babies there and all agreed it was a great hospital with lovely midwives.
Good luck