Hi, we've also done both and I would recommend Let's Act. My daughter has just got 2 drama scholarships at senior schools and the LA team were amazing and so supportive. We did Battersea Stagecoach when she was younger as that's what her friends were doing, but personally I found it a bit chaotic and the, lady running it a bit icy.... and I'm a super strict / take no nonsense ex-teacher mum & so I'm not one that thinks all kids are precious darlings and should be treated with kid gloves.
We moved to Let's Act when she was in Y4, but I wish I'd done it sooner. She does 3 hours of drama, dance and singing on a Saturday and she absolutely loves it. (They have a range of options if 3 hours is too much. ) The team are warm, professional and caring and all clearly very talented themselves. They run clubs in half term and they go above and beyond in my view, particularly during the lockdowns. If you have any other questions, then feel free to DM me.