Instead, hang washable curtains or shades. Leave floors bare or use washable rugs in place of carpets, which are breeding grounds for dust mites and mold. Decorate sparsely, being sure to avoid upholstered furniture wherever possible, especially in the bedroom. Replace upholstered furniture with wood or leather pieces. It is believed that dogs or cats with short hair are less likely to cause allergic reaction, due to much lower levels of dander, however, if you are sensitive, you may well have an allergic reaction regardless of the length of hair on the animal.
Fish make good pets for people with allergies, as long as the tank is kept clean and mold-free.