I don't know what you like to do, but I have traveled with kids. I tried to get my kids a pretty good mix of things to see, including some iconic "Europe" sights, so in Paris, they have all been up the Eiffel tower, climbed the stairs up the tower at Notre Dame, and done the Fat Tire Bike tours out to Versailles, complete with picnic in the gardens (which means that I have done these things with a kid three different times, and it was a hit with every one of the kids). They also loved the bike tour in Paris and at least one chose to tour the catacombs. They all liked the outside sculpture garden at the Rodin Museum too. They each had a three week trip with me, so during that time, each got to pick one day at one amusement park - the boys each picked a LEGOLAND park, but my daughter picked Disney Paris and really enjoyed her one day there when she was 11. I found it quite different from US Disney - ie, chickens walking around, cooking bread on a stick over a fire, etc.. That was 10 years ago, so maybe things have changed, and of course, there are still rides and everything. We just did it as a day trip from Paris.
I personally loved Normandy, but I didn't take that trip with my kids, so I wasn't seeking out kid-friendly activities. We toured the castle in Falaise which the kids would have liked, and I think they would have like Mont St. Michel. We toured a lot of WWII sites and did a lot of fine dining, which would not have been as kid-friendly, but I am sure you could create a fun itinerary there.
I haven't been to Amboise since I was 15, but my kids would have enjoyed a day or two of visiting Chateaux and I think there would be a lot of opportunity for walking and biking nearby. It has also been a long time since I was in Burguncy or Alsace, so I don't know about the kid-friendly activities there. I can say that for my 11 year olds, any bike tour, anywhere, was a big hit.
The kids also loved the high mountains. We were in Switzerland, not the French Alps, but hiking was great fun. I did take one of the boys to Chateau de Chillon in Montreux and he loved it. Open air Museums, high mountain lifts and animals (cows walking in the street, goats in fields and petting areas in the open air museums) were popular.