You haven’t enabled any social networking icons for sharing on your blog so none will appear on posts or pages. And you can disable the “like” button that can only be used by WordPress.com members who are logged in on the sharing page. The Twitter and Facebook log-in buttons appearing in comment boxes for comment submissions by those who are not logged-in WordPress.com members cannot be disabled.
Blogging can be fun and it can become addictive. An important factor when it comes to longevity is to keep your passion alive by injecting as much playfulness as you can into posts, especially when your target audience is children. Blog on! :)