Helping Iraq and Afghanistan Veterans Return to Employment at Home Act or HIRE at HOME Act - Directs the Secretary of Veterans Affairs (VA), as a condition of a grant or contract to a state for certain veterans' employment and training programs, to require the state to demonstrate the consideration of any military training received by a veteran when approving or denying a license or certification as a nursing assistant, certified nursing assistant, commercial driver, emergency medical technician EMT-B or EMT-1, or emergency medical technician-paramedic.