Hello! Don't worry first understand the root cause for frequent cough and cold in your kid.
Basically most of the cough and cold are due to cold weather exposure or any cold and chilled food items. Second thing is kids are often keep their hands here and there and keep their fingers in their mouths. Viral infections are the main reason to get a cough and a cold in kids.
Next Steps
suppose if u r kid is above 7 months then get Influenza vaccine which decreases frequent upper respiratory tract infections.
Health Tips
you can get influenza vaccine every year before winter starts