Most Bussiness license are from the city ( some from the county) in GA.
For example if you live in Atlanta, yes I know you would, they require a business license for any business ( by law if you mowed peoples yards there you are suppose to have a license) now do they enforce it heavy, no.
But in many areas let me pick on Baxley GA, most likely there you may not have to, but even if you did in the city, if you lived outside of the city limits you would not.
Now another issue if you live in the city and some counties is ZONING, esp if cleints are coming to your home, unless your home is zoned for a business, you may have to ask for and get a variance to allow a home business. ( depending on the zoning rules in your area)
Now again do they enforce this heavy? Not unless there is a complaint, a customer who was not happy, a neighbor not liking someone's car that blocked their drivve and so on.
Also remember that once that equipment is being used as a business, your homeowners insurance does not cover it, nor does it cover the liablity of someone getting hurt on your property for busienss, you will need to get a rider or attachment to your home owners policy to cover liablity and property of the business ( not a lot of money)