The best for children and parents would probably be that none of the parents have to work at all until the child is some age when they should go to school. But if we implemented that system, there would be a labor shortage, which would reduce the number of teachers, plumbers, mechanics, accountants, software engineers, etc, so the rest of society would suffer. There is no magic wand we can wave to solve all our problems without any tradeoffs. Money distributes resources in a capitalist system, and there are many problems and distortions. If you built a command economy with no money you would still have to make choices about these tradeoffs.