I've been giving my kids BioGaia Protectis Baby since 6months old. It was recommended by the pediatrician when I brought one of them to see him due to bouts of vomiting . I personally feel that it's no harm giving to the kids and have read up about it. You can read this article for better understanding of the benefits. Hope it helps.
articles.mercola.com/sites/articles/archive/2011/10/27/probiotics-for-newborn-babies.aspx?np=true