I don't have a specific recommendation, but I have seen flyers for piano teachers in Fix coffee on Whitecross St. They are students from Guildhall, I think, so you could also always try going along to their reception to see if they have a list of teachers?
Belhr, thank for the suggestion. I had already emailed the Guildhall and have since received replies from several students which I can follow up. I posted on the Estate web site in the hope of getting a personal recommendation for someone, as it will be difficult to pick the best teacher from a CV.
PS. My neighbours shouldn't worry about the noise from practising. I have an electronic piano with headphones.
I would recommend Jose Luis Gayo, an excellent teacher based in the Barbican who has a number of adult learners: 07906309897