Generally, a voucher-holder family may choose any available rental dwelling unit on the market in the PHA’s jurisdiction.  This could include the dwelling unit you are currently occupying.  The PHA MAY NOT  assist a unit under the voucher program if the unit is a public housing or Indian housing unit; a unit receiving project-based assistance under section 8 of the 1937 Act (42 U.S.C. 1437f); nursing homes, board and care homes, or facilities providing continual psychiatric, medical, or nursing services; college or other school dormitories; units on the grounds of penal, reformatory, medical, mental, and similar public or private institutions; a unit occupied by its owner or by a person with any interest in the unit.