Asthma Support Group
Asthma is a disease of the human respiratory system where the airways narrow, often in response to a "trigger" such as exposure to an allergen, cold air, exercise, or emotional stress. This airway narrowing causes symptoms such as wheezing, shortness of breath, chest tightness, and coughing, which respond to bronchodilators.
All of them take antihistamines when they visit, and they do use the wet wipes and stay away from eyes and nose with the hands. I would give the cat away, but they don't visit and she has a heart condition and would not survive.
When my kids were allergic to pets, we had to keep them outside or get rid of them. It didn't work too well where we are now with 6 months of brutal winter, but in a warmer climate it was fine. I would move the animal outdoors and wash the walls, change the beds and cover them with plastic and keep the cat out of that room and other main rooms you use. And good luck.