When my eldest son was very young, he suffered from a chronic allergy (runny nose and cough) that the Dr's couldn't figure out. We tried removing many things from our home, including the cat, and ran allergy tests on him but they all came back inconclusive. After about a year, I decided to completely stop using all chemical cleaning products in our home (floor cleaner, wood polish, glass cleaner etc...) The results were astonishing and his allergy disappeared in 2/3 days! I now have a very simple cleaning regime for the house and the results are just as good. Windows are cleaned with water mixed with vinegar, all surfaces are cleaned with soapy water with a few drops of added tea tree essential oil. I clean my floors with water,vinegar and a few drops of tea tree oil or peppermint essential oil.
To cleanse the air in your house, you can boil a pot of water and vinegar on the stove with the lid off, let it boil for 30mns and let the steam fill your house. The vinegar will cleanse and deodorise the air.