My girls are a little younger than yours but they both have asthma, one worse than the other. I haven't noticed anything with the singular and both of my girls take it. I have however noticed the moody thing with my 4 year old when she takes Zyrtec during the day. I told my husband I would swear she had PMS if she wasn't four. Maybe the Singular is making her that way. It's worth asking the doctor about. Now I only give Zyrtec at night when she is going to sleep. Maybe try giving the Singular at night.

As for the inhaler, give it whenever you notice her coughing alot. I should help stop it. Do you have a nebulizer? It can be more of a pain sometimes but you can use Xopenex instead of Albuterol and it might maker her a little less jittery. I use the nebulizer at night and the inhaler during the day because it is easier to carry around. Albuterol raises the heart rate and causes my four year old to get the jitters and feel funny. This might be what is making her moody too.

Ask you doctor about Xopenex. It doesn't come in inhaler form, at least I don't think it does.