So what is the difference between the Housing Choice Voucher Program and the Public Housing Program? The biggest difference is where the subsidy is tied to. With public housing, the subsidy is tied directly to the unit and project (generally a large multifamily apartment/condo style community). This is a limiting option for most families who wish to seek different types of housing in other neighborhoods.
Alternatively, with the Housing Choice Voucher Program, the subsidy moves with the tenant. This allows families to look for many different unit types in any neighborhood they want.