Safeguarding Our Hospitals' Futures Act of 2009 - Directs the Secretary of Health and Human Services, in the case of discharges occurring on or after October 1, 2009, to apply budget neutrality on a national basis in the calculation of the Medicare hospital wage index floor, including a minimum wage index, for each all-urban and rural state for discharges occurring during FY2008 under title XVIII (Medicare) of the Social Security Act (through a uniform, national adjustment to the area wage index).