Handkerchiefs are gentler on runny noses than tissue
When your child gets a cold, instead of using tissue after tissue all day (leaving piles of trash and a red nose), keep a soft rag around (cloth diaper, old washcloth, handkerchief, etc.) to use. Less waste, easier on the nose. I always thought men's handkerchiefs seemed a little gross to keep around all day long in a pocket! But with my child's extremely runny nose days, I'm glad to choose something besides tissues.
Cold weather happens to make my nose run all the time (TMI, I know). I bought a box of white cotton hankies in the "men's furnishings" section of our local department store and have loved them ever since. They wash beautifully, are easy to fold into a compact square, and somehow feel luxurious to my poor nose.
They're also great to hand to a kid who knows how to wipe her own nose, say, while driving in the car. (Who thought to call men's underwear "furnishings" anyway? My mind is coming up with all sorts of unsavory jokes right now, so I'll just stop right here.)