The kind of large families like you have are very rare in paris, for multiple reasons : -it's easier to afford more space/a house outside of Paris. The people that can afford large housing in Paris definitely can afford alternative solutions. -Having a large family and having to care for it by yourself means you rather have a car (e.g. to drive children to school, activities, vacations, etc). Having a car in Paris is not a good idea. -Cities outside paris are usually more friendly to families : it's easier for schools to take the kids in woods for sports activities or hikes, sports facilities are more accessible, etc. -Also, more families outside of Paris means that your children will grow in a neighbourhood with families. There's little for children to do outside of home/school in Paris.
Btw, your grocery list feels like your family is around 15-20 people. Families are considered large from 2 adults/4 children here. While it was common before the boomers' generation, families with more than 6 children are almost non-existent now. Also housing 15-20 people decently in Paris probably means you could hire people to take care of groceries...
(also lasting snow is maybe once-a-year in Paris these days, and it's usually chaos these days)