My dryer was, at one time, vented out to my garage. I found someone on HomeAdvisor dot com to change it. Plumbers don't do this kind of work. Usually a person familiar with duct work would know about that job, most likely a HVAC pro.
The person who did mine is a general contractor. He does everything that involves home construction and repairs.
My dryer vent now goes into another wall, different from the one adjacent to the garage, and then the dryer vent duct hose travels straight up about 8 ft then goes horizontal for about 10 feet where it is vented to the outside. There was a slight problem getting the hose to go from vertical to horizontal...at that place in the wall there is a 45 degree angle placed in the drywall to accommodate the curve in the hose otherwise it would have gotten crimped right there.