Add an air cleaner (e.g., HEPA [high efficiency particulate air] filter, electrostatic filter) to central heating and air conditioning and use the filter for at least 4 hours each day.


OR


Have the pet brushed thoroughly daily (outside) to remove dander and washed every week.
Use a vacuum with a HEPA (high efficiency particulate air) filter if possible and wear a dust mask to vacuum.

Just some suggestions. Your Welcome.