wraparound care
From Longman Dictionary of Contemporary Englishwraparound careˌwrap‧a‧round ˈcare, wraparound childcare /ˌræpəraʊndˈkeə/ noun [uncountable] an arrangement in which young children in Britain can go to school early in the morning and stay at school after the normal school day has finished, and take part in organized activities until their parents can collect them after finishing work