I am starting a specialty construction and lawn care business and want to know if i can make both on the same llc and i live in ky so do i actually have to have a specific license for the construction side?
You should contact a business/tax attorney for help setting up your business. It sounds like you might be better off separating the two because they likely have different risks, insurance, and employment issues.
Kentucky only issues/requires contractor licenses for electrical, HVAC and plumbing contractors. Different cities and counties have requirements for general contractor licenses. For example, Louisville/Jefferson County has its own requirements. You will need to investigate the location(s) where you expect to work for specific information.