Thanks everyone! He has severe outdoor allergies, too. In addition to his Zyrtec and Nasonex, he is now on Pulmicort, Singular, a rescue inhaler, a nebulizer, a steroid eye drop, another type of eye drop (Patanol/Pataday - RX for both, what's the difference?), and Prednisone (he had ended up in the ED on Monday, was diagnosed with allergic croup, but infact it was asthma). She told me to bring the nebulizer and rescue inhaler along with the daily meds.
I am a NICU nurse, so I really don't know that much about asthma. He's still coughing. Does this stop when the asthma is better controlled?