Just about every dog loves to get out and about, but breeds that adore long daily walks or vigorous exercise tend to be medium-large breeds, including Labrador retreivers, Doberman pinschers, Rottweilers, Irish and English setters, Weimaraners, Border collies, most pointers, German shepherds, and Dalmatians.
Eventually the Zoysia Grass plugs will spread, take over the cool season grass and will establish a full Zoysia lawn. It may not be a successful endeavor to try this method with warm season grass as Zoysia is a warm season grass and the two would just compete for resources having the same period of growth.
Zoysia turns brown and enters dormancy in winter. If you transplant the plugs at this time, they have no encouragement to establish themselves with spreading roots or leaves, and it is possible they will die. This particular warm-season grass tends to remain dormant for longer than other grasses.