Except a handful of states, most states require either a business license or a child care license to run a camp. In addition, you may be required to provide liability insurance as well. Check your state if a license is required. Most states require at least an age of 18 to be able to obtain a child care license, among other credentials such as experiences.
Moreover, you may also run afoul with your city code that may not allow business in certain type of homes.