This information was retrieved from the American Veterinary Medical Association website.
HPAI infections in domestic cats is very low, and appears to be associated with outbreaks in domestic or wild birds. Cases are typically acquired through ingestion of raw meat likely infected with the HPAI virus. Fortunately, there is no evidence to date that domestic cats play a sustained role in the natural transmission cycle of HPAI viruses.
HPAI infections in domestic dogs is also very low. Whether dogs shed HPAI is unknown at this time. Practicing good hygiene (e.g., washing hands and frequently disinfecting surfaces) and limiting contact with pets showing signs of respiratory illness (e.g. coughing, sneezing, wheezing, nasal discharge) are reasonable precautions to take.
Information on the susceptibility of all avian species with avian influenza is not available, however, the risk can be minimized by avoiding contact with wild birds. Even though HPAI has been detected in the United States, indoor birds continue to have a very low risk of becoming infected. Birds housed outdoors, however, should be protected from contact with wild migratory birds (especially waterfowl and shorebirds), their droppings, and water frequented by waterfowl and shorebirds. If infected, it may be possible for companion birds to spread the virus.
Talk to your veterinarian if you have further questions or concerns.