Artificial wombs. Group day-care. Have women donate eggs, men donate sperm and combine them randomly. Make it the duty of every person to be a parent to 2 to 3 children with fines for not doing their part until they hit 30/40 years of age. The babies will be born never knowing their biological parents. Then they're sent to child-raising facilities, either government or private, which are subject to strict regulation against mistreatment and indoctrination. Only the mega-rich, or very rural will afford/choose to have babies the usual way.
This seems to be the only choice in a society where everyone has to work 40 hours per week to secure a living for him/herself. If you had guaranteed basic income that can cover the cost of children, people could leave their position for one to two years, maybe do contracting work from home on the side. You will need very strict laws against discriminating against those who chose to have children. Or, you know, make making children a specialised industry like everything else.