Hypoallergenic dogs may cause you to have fewer allergy attacks because their hair does not shed, they don’t have an undercoat, or they do not shed a lot dead skin cells, or dander. When looking for a hypoallergenic dog, you will have to decide on a breed of dog and also how the dog will fit into your lifestyle. Many hypoallergenic dogs are small or medium breed dogs. This means that they are small sized or medium sized dogs that require more attention than larger breeds. The following breeds of hypoallergenic dogs are popular with those who suffer from allergies: Soft Coated Wheaten Terrier, Bedlington Terrier, and Irish Water Spaniel.