In order to diagnose and help you let me know more about cold cough:
weather cough is more in day or night
weather cough is dry or wet (phlegm transparent white or yellow green)
Is there difficulty in breathing or chocking in chest.
feverish or not if yes in morning or afternoon and evening
do sneeze often or not
weather dust hurts or makes cough worse
Do often sweat at night?
also if anything else
Next Steps
You can observe quick relief from homeopathic medicines And change in lifestyle:
(1) Beware of House Dust mites and House dust hidden in quilt pillow mattress carpet Etc.
(2) Use nothing too hot in cold weather and use nothing too chilled in hot weather.
(3) Refrain from antipyretic and analgesic medicines except in case of high grade fever.
(4) Avoid perfumes, scented soap, shampoo and other such Hazardous items like Woolen clothing and other animal dander.
Health Tips
(1) If possible - reduce consumption of rice, Avoid bananas and Colocassia Roots (Arvi)
(2) Consume homeopathic medicines Under supervision of homeopathic consultant only