Don't let pets sleep in the bedroom. Clean carpets and places where your pet sleeps regularly. Avoid people and clothing that has been in contact with cats. If you are sensitive to feathers, get rid of feather bedding, pillows etc. Although pollen is most often implicated in hayfever, it can also trigger asthma attacks.
Pollen is extremely difficult to avoid.
Keep windows closed on days when pollen count is high. Do not open car windows on days when pollen count is high. Stay away from parks and other areas with grass and trees on warm dry days. If you have been outside pollen may become lodged in hair and clothes. Wash your hair and change clothes when you come indoors.