Hi,
Based in Normandy, I know a thing or two about the French bureaucracy and its laws...
Unfortunately, You won't be able to go shopping with your tracked vehicle anywhere in France, for these vehicles are just not even considered as "road legal". They can be tolerated punctually for commemoration purposes, or in military use, but besides, Law seems strict about them, it's a private grounds vehicle only. To get them on a public road, you'll need to declare the trip to the local authorities and have padded tracks. And even so, if your vehicle damages the road surface or markings, they can charge you with the repairs (in all fairness, never heard of that case being applied, but it is stipulated somewhere)
You will not even be able to register it in there, the category doesn't simply exist, neither does the H licence... They obviously need to be insured anyway.
Also, owning a military tracked vehicle is fine and legal until it was designed to support a weapon system of any sort. Then it has to be declared as a "category 2" weapon. Nothing complicated, just ensure the vehicle is kept in a closed building and it's weapons have been declared deactivated by a French Expert..
So, bringing it in France is easy, but forget about the Sunday bakery run, unless you know very well the local Gendarmes and Mayor!
Don't get put down by these seemingly bad news, many people own a tank around here and show them quite often, and the Authorities usually have a rather relaxed eye .on those!
My penny worth though, many other people will sure know much more about the matter than me...
Regards,
Vince