Kids Cove Childcare Drop In Share: Education - Child Care Kids Cove Childcare Drop In Visit Website Request Info 10420 Kingston Pike Suite I Knoxville, TN 37922 (865) 507-1287 Facebook Instagram Hours: Monday to Thursday 8am-9pm Friday & Saturday 9am-11pm Sunday 10am-6pm About Map About Our drop-in child care center offers flexible and affordable care for children ages 6 weeks to 12 years old. Whether you need a few hours of care or a full day, we've got you covered. What's Nearby? Distance: 5 10 15 20 25 50 mi.