An appliance for grooming furred animals including a tubular body part forming a handle and an airflow duct connectable to a vacuum cleaner, the distal end of the body part being flared out to form a head part communicating with the airflow duct; a comb assembly being pivotally supported from the forward edge of the opening of the head part with a comb orientated more or less normal to the longitudinal axis of the body part or tilted towards a user of the appliance to make an angle with the longitudinal axis of the body part in the range 90 to 60 degrees; the comb assembly being pivotally displaceable by various means inwardly from its the deployed position into a retracted position within the head part where the comb is exposed to and swept by airflow generated by the vacuum cleaner, thereby removing accumulated hair.