To help with your 1-year-old's stuffy nose and runny nose, you can clean their sinuses with saline water solutions like Hydrasense or Salinex. This can be done several times throughout the day. Using a nasal aspirator to remove mucus afterward can also be helpful. Applying Vicks ointment on their chest or back may provide some relief. It's important to use products that are suitable for your child's age. Unfortunately, there is no magical cure for a cold, but proper nasal hygiene and time should help improve the symptoms.