Laminate flooring is the most durable flooring on the market today. It's designed for children and pets. The floor is stain and scratch resistant and holds up to 40,000 pounds per square inch. It cleans with a damp mop. The floor always looks the same and never fades.
Real hardwood floors. It might cost more but it is worth all the money. I would recommend area rugs for children to play. And at door entrances a throw rug to wipe your feet.
If buying carpet, make sure it is a good quality with a thick nap. Stain resistance is a plus, too! Hardwoods can be scratched and damaged by children or pets. Marble or slate is durable and beautiful, but expensive. Ceramic tile is a good alternative to marble and can be found in a variety of styles.
the most durable flooring for you would be simple wood flooring. it will be plenty durable and you kids will enjoy playing it and not getting hrt if the fall.