That's an interesting itinerary.
Annecy makes little sense to the continuity of your trip. Why are you including it? It's a nice city with a lake, but unless you have a very important reason to go there, cutting it would be the first change I might make.
If you just want to travel from Amsterdam to Bayeux, take the train and rent a car in Bayeux. Taking the train to Caen could also work. It´s a long, expensive drive, and Lille for 1 night is not going to add much to your itinerary.
Bayeux to the Loire Valley looks fine, 3 days/4 nights is a good amount of time to cover the highlights. Sarlat for 5 days is good, which can include much more than just Sarlat.
The next segment is a bit concerning, 4/5 days in or even around Carcassonne is overkill, unless you are particularly interested in the Cathar culture and are determined to visit as many Cathar castle sites as you can. You could arrange this to spend a week on the Canal du Midi from perhaps Bram to near Béziers, (I am not sure what options currently exist). You rent a boat, travel the canal, see everything up close, and continue 7 days later at some point farther to the east. Just a thought.
From Sarlat, I recommend traveling eastward but at a latitude farther north and explore either Languedoc, (Montpellier, Nîmes, Uzès, le Pont du Gar, maybe Aigues Mortes as a Carcassonne replacement), or continue to western Provence, which is arguably one of the most popular tourist destinations in France. 10 days would not be too much time to spend exploring Avignon, Arles, St Rémy, Isle sur la Sorgue, Gordes, Rousillon, Baux les Provence, and Aix-en-Provence.
Take the train to Paris from one of the cities, such as Nîmes or Avignon.
Not clear on how much time you actually have, but Amsterdam, Normandy, the Loire Valley, and Paris can easily fill 3 weeks or more.
Finally, reserve your hotels in advance, don't try to find accommodations on the fly this year. You might be sleeping in the car.
There are a lot of possibilities, and much of what I outline might take 6 weeks or more. These are just malleable suggestions that take you to the highlights.