Allergies to cats and dogs are common. This is a problem, since many people would like to have a pet. This is why so-called 'hypoallergenic' dogs and cats are popular. In this article, we show that the existence of these 'hypoallergenic' animals is actually a myth and that these animals are not a good option for people who are allergic to those pets. We also especially describe the negative consequences for the wellbeing of cats and dogs because of their specific external characteristics and the way in which they are bred.