There seems to be lots of conflict between these two and great difficulty in getting them to co-exist wirelessly. It seems the most common solution is to connect the TC to the HH by ethernet but sometimes that's not practical. Anyone any experience?
Answering my own question, taking the TC to a non BT HH network had it working as intended straight away. Installed latest firmware and it now works wirelessly with BT HH. (I guess we could have connected by ethernet to BT HH to update.)