The office of Federal Student Aid has a list of federal grants and scholarships available for veterans and active military personnel and their family members, as well as future members of the military. Military.com also hosts a list of military spouse and family educational assistance programs with links to applications.
NerdWallet has an article listing the top 10 scholarships for children of veterans, and each entry has a link to more information and an application form. U.S. News & World Report reports on scholarships that benefit military personnel and their families, including their children and even grandchildren. FinAid.org also provides links to applications for scholarships available to military families.