While your bulldog’s hair may be short, that doesn’t mean he or she doesn’t need a good brush at least a couple of times a week. Regular brushings will remove loose hair, reduce shedding and make your bulldog’s coat clean and shiny. Use a soft brush or rubber curry comb, and as you brush, make note of any skin irritations, such as dandruff, redness or scaling. Skin problems are common among bulldogs.