"To keep the kids busy" means to give children activities or tasks to do in order to prevent them from getting bored or causing trouble. Full definition
With games, attractions, and activities throughout the resort, there are tons of fun things to do, keeping your kids busy for hours. (greatwolf.com)
A very relaxing weekend for the adults with a combination of keeping the kids busy with fishing, a games room and walks on the property. (sa-venues.com)