I have to tell you it scared me when my daughter was only 5 months old and diagnosed with ASTHMA. Its something I had never dealt with before. However, her ped wrote a perscription for albuterol through a nebulizer. She is now almost 4 yrs old and does the medication all by herself (with supervision of course).
Her symptoms are seasonal - and mostly (ALWAYS in my opinion) allergy induced - meaning the only times she has troubles is when her allergies flare up. I am lucky to the point to where I know her allergies flare the same time mine do - so - to make it easier and avoid the troubles she take the childrens clariten when I take my benadryl. It works wonders and really works for us.
I will say though - it took a lot of work on my part to keep her ped dr from putting her on anything I was not comfortable with. I kept all her illnesses written down in a journal and wrote doen mine as well - symptoms and all - and showed him my thoughts and notes to back it up. I explained I did not want my child growing up on tons of medicine - and even when she gets a cold - we try typical OTC meds and let it run its course instead of running to get a prescribed antibiotic. I want her to build her immune system - not keep it low due to so many medications. If she truly did not need the medicine and whould suffer terribly because of it - we did without.
Again - I told all of this to her doctor and he worked with me. if the lack of medicine wasnt going to her my daughter - he told me how to go about dealing with her illness (whatever it was) by home remedies ans OTC meds.
good luck - dont stress and sit down with your ped dr and discuss everything in detail. Let them know what your beliefs are and your expectations. you are still the parent. do wnat you feel you need to and what you believe to be right for your child.