9 month old and using fluoride toothpaste...

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My son had his 9 month check up today and our pediatrician told us to start brushing his teeth with a children’s, fluoride toothpaste. She said that just changed a few months ago, fluoride free vs fluoride toothpaste. Sooooo....... how in the world do I keep my son from swollowing all the toothpaste? It’s going to mess up his belly.