For me I do these things when a cough is threatening:
nibble apple.
drink water, milk, not sweet drinks, tea or coffee.
eat easy, moist food, frequently.
avoid sweet things.
My theory is that the bugs in my throat need peace and quiet and sugar to live and multiply. If I move them on frequently by eating and drinking there are fewer of them. I stop providing them with sugar to live on, so overall the numbers dwindle and I feel better!
I used to get prolonged coughs with a cold, but now I simply don't suffer any more.
Good luck
I got a humidifier when I was struck down with a terrible cough a few years ago. It runs all night long and you can have it beside your bed.
Turn the water heater on before going to bed so you know you can make the bathroom all steamy in the middle of the night. I slept/dozed on a beanbag in there once.
Don't talk during the day. That used to set me off. How you avoid it with children I don't know.