Hi Rosie,
Yes, I get this a lot. As we age our nasel passages can dry or become more easily irritated. Several things affect me. Central heating, air conditioning, chemicals from cleaning products and perfume. Always a lot worse in the winter.
The thing to do is to find what triggers your symptoms and try and avoid them. Antihistamines may help in the short term, even if the problem is not a true allergy, as they help to dry the mucus.
Hope that helps.