nursery; childcare room; baby-care room
A room in a public facility (department store, event venue, etc.) where parents can leave their children in the care of staff for a short time.
I left my child at the department store's nursery and enjoyed shopping.
This event venue is fully equipped with a childcare room.
授乳室 is a nursing room specifically for breastfeeding or bottle-feeding, whereas 託児室 is a staffed room where children can be left for a period.
Compound of 託児 (takuji, 'childcare, temporary care of a child') and 室 (shitsu, 'room').