Toddler Storytime at the New Amsterdam Library. The New Amsterdam Library has been hosting children’s programming for years and it’s a great way to introduce your children to the public library system. Kids can enjoy interactive stories, action songs, fingerplays, and spend time with other toddlers from the neighborhood. Story time is a great way to encourage listening skills, vocabulary and imagination. No reservation is required though space is limited and the library has easy stroller access. Sign up for a free children’s library card, while you are there. Children from infant to 11 years old can have their own cards; applications must be signed and completed by a parent or guardian.