Protect Our Military Children Act This bill directs the Department of Defense to carry out a pilot program providing blood testing to children of certain members of the Armed Forces. Such members are those who served on a military installation in the continental United States that was exposed to perfluoroalkyl and polyfluoroalkyl substances at any time during the previous 10 years. A criterion for selection of an installation for participation shall be whether a high rate of children receive health care at a military medical treatment facility at the installation.