Small-range fixes and improvements are suitable for a handyman. Anything larger should be referred to a contractor. A synonym for home-related is domestic. A collective noun for painters, electricians and carpenters, etc.
So maybe domestic business services? The driver is the rarest because, by definition, the service does not take place at home. A driver would need an adjective for private or personal or simply hired. If you're planning a major home renovation or a large scale construction project, hiring a general contractor is the best option. They are usually a trained and licensed carpenter or renovation technician and a licensed contractor.
