My office landlords hired some goats (not from this company) to tame some overgrown bushes by a river. They arrived in a gutted school bus (which is where they slept over night). As far as I could tell, the procedure is: set up fence around area to be eaten, let out goats, and let them wander and eat for a few days. The end result wasn't very pretty, but it was remarkably effective.
From the perspective of the goats it must feel like they're on a luxury cruise. They get whisked around to new locations every day, they get out and gorge themselves on food, then back on board to the next location and plant buffet tomorrow. Nice lifestyle!