I know this thread is mega old - but figured I’d comment in case anyone stumbled across it in future… the best club I’ve found when I was looking was Edinburgh Badminton Academy. It’s very professionally run and they have locations all over Edinburgh with c400+ members. They also have sessions for social (more laid back badminton with some informal coaching), games sessions (work on a ladder system) and coaching sessions - they also cater for anyone from completer beginner to advanced.