Hi from Wisconsin,
I agree with so many, skip the Cotswolds. They are an over gentrified, London weekender owned, crowded, tourist filled, no place to park...I could go on. Yes the houses are pretty. You have to stay until after 5PM to see things without your view being blocked by people. Gosh, I must be some kind of curmudgeon. Really nothing real like a laundry or stores.
As for the 'M' roads. Yes, they resemble our interstate highways. Except they have permanently mounted electric signs extending over the roadway giving up dates as to how many hours delay you should expect. Just because you have made it onto an M road doesn't mean clear sailing. Tine of day considerations, day of the week considerations, is it a bank holiday questions.
London has so much to offer. Book a place near a Tube station on the Circle Route for 6 days and settle in. You could spend an hour in the British Museum each day concentrating on something of interest for your kids.
Yes, a good pub. Not a tourist attraction fake put up in the last 20 years.
When I was young, I went to A Clockwork Orange in London. On the one hand, what a waste ,on the other I will never forget it.
wayne iNWI