My husband is being adopted by his French step mum

My husband isn’t keen on the house just being in my name in case he wants to sell and move once I’ve died (he won’t need the size property on his own that we need!) Nothing is ever straight forward!
Added to that it’s already in joint names.

As the house is in joint names , as things stand , should you predecease your children would have rights in it . You can protect your husband with the measures I have already described; there would still be a need to have agreement with your children if he wished to sell.