They should be walked several times a week unless they are provided with a fenced-in yard in which they can run and play. Older dogs are more sedentary, but really enjoy walking. Most Greyhounds make excellent jogging companions, but must be slowly introduced to long distances. They have short coats and very slight undercoats. Regular brushing, especially in the spring and fall, is all that is necessary to keep shedding to a minimum.
Greyhounds really enjoy being groomed.