I very much enjoy mountain hut treks, and since I've had children I've enjoyed doing them as a family. Over the past few years we've done this only in Austria, especially in the Rax region. I'm guessing at this point my children can walk up to about 10km a day for a few days (a year ago they did about 30-something km in five days).
I'm familiar with the mountain hut culture and have done trips (without children) in a few European countries, but never in the UK. Are there any recommended trips? Ideally I'd like something that's less than a week and not too far from London - up to a few hours in a train would be best, up to a few hours drive is also acceptable.
Although I'd prefer lodging in places that aren't accessible by car, similar to many Austrian mountain huts, this is not an absolute necessary. Staying in some small hotel in a village is fine too.
From my initial research I've found The Test Way and The Clarendon Way, but I'd be glad to hear from someone who's actually done something with children.