Teaching piano in London

[aonghus]

Hi,
I would love to hear from anyone here who teaches or has taught piano in London.
I'm thinking about moving there but would like to read people's experiences of finding students there. 
Did you find it hard to get enough students there to make a living off it?
I'm interested because London is competitive but also very big, which makes me wonder which factor would outweigh the other. If you have experience of teaching piano in both London and other areas, I'd be interested to read a comparison -  which did you find harder?
Thanks in advance for any opinions.