nursery; childcare room
A room in a facility such as a hospital, department store, or workplace where babies and young children are cared for.
I changed the baby's diaper in the department store's nursery.
託児所 is a drop-off childcare facility, often for short-term care, whereas 育児室 is a room for parents to care for their own children.
Compound of 育児 (childcare) and 室 (room).