I have personal experience of using https://www.occ.uk.com/ They used to be in Putney but I think have moved now, I found them to be excellent.
I’ve also heard good things about RECentre in Balham.
Hi - I have used Emily at Back on Track clinic at Wimbledon park - she is amazing. Used to work at a kids clinic in Harley Street before operating from her own practise - with Kieran who is also great. I saw her with my son who was born with very bad cranial moulding and she was fabulous. I have also used them for my back and found them much better than a couple of Osteopaths I have tried in Balham where I live. It's a bit further to go but worth it in my opinion. There is parking on the street nearby.
Aude is brilliant at the Putney clinic on the upper Richmond road, I’ve seen her personally for migraines but I’ve had lots of friends who have taken children to her and she specialises in paediatric care.