To help with your 11-month-old baby's runny nose and cough, you can try using a saline solution like Hydrasense or Salinex for nasal hygiene, and then use a nasal aspirator. This can be done as often as needed during the day and at least 30 minutes before bedtime. Although it may be a bit unpleasant, it works well to prevent the secretions from dripping into the throat and causing a cough. Feel free to ask if you have any other questions!