Hello, Welcome to Healthcaremagic!
It seems you have allergic rhinitis
induced by cold
air. You protect yourself from cold, dry atmosphere as much as possible. Antihistamines like cetirizine
& steam inhalation should provide benefit. Also consult an ENT specialist
, if not much relief. The skin around nostrils may be raw & red due to dry, cold air-- apply vaseline or some good moisturizing cream.