While you are eating, put a pan of hot water over the fire so you will have an easy time cleaning up after everyone is done. Another option will be to bring a large coffee pot. That way, you can also serve coffee or hot chocolate.
You may want to drink something cold while you are camping so buy block ice instead of cube ice. Be sure to also put this inside a cooler so it does not melt together with any other refreshments you decide to bring like juices and sodas. Since you will be opening the cooler very often to get good compared to drinks, better separate the two and put one in another cooler.
It will also be a good idea to bring aluminum foil since these are great for mixing meats and vegetables as well as for cooking and cleanup. To prevent them from burning and keeping it moist, apply some ice.
Certain dishes are not the same without seasoning. If you need to bring some along, use the squeeze bottle versions because these are easier to use. If ever these get hard, shake it and then watch it come out.
On the last day of camping, cook over any left over meats and vegetables by mixing this into an omelet. This is because you can mix almost anything with it and you reduce the amount of leftovers you have to take back home.
Cooking and camping in France should not be a problem now that you know what to do even before you get to the camp site. If this is your first time and you had a blast, you can do it again not only with family but also with friends.