I have a lot of boxing experience, a little bit of grappling experience, but fuck all BJJ or Muay Thai experience.

I'll never be a black belt in BJJ, I'm also pretty sure that I'll never be a spectacular Muay Thai practitioner, but I want to become good enough at MMA to be able to compete in a show at some point in the nearish future.

Where in London would best be able to help me achieve this?