HOME – Home Investment Partnership Program: Program, operated by HUD, is a federal housing block grant program that allows states and local governments the flexibility to fund a wide range of low-income housing activities, including moderate and substantial rehabilitation, new construction, tenant-based rental assistance and other housing-related activities.
CHDO (Community Housing Development Corporation): A private, non-profit development corporation that that meets a series of qualifications prescribed in the HOME regulations and has been designated by the local Participating Jurisditcion (city, county or state) to receive a set-aside of HOME program funds. 1/3 of the CHDO’s board must represent low-income households. A participating jurisdiction must award at least 15 percent of its annual HOME allocation to CHDOs. CHDOs may own, develop, or sponsor HOME-financed housing.
The FDA is a CDC:
The FDA is also a CHDO:
CDC (Community Development Corporation): Non-profit groups accountable to local residents that engage in a wide range of physical, economic and human development activities. CDCs rebuild their communities through housing, commercial, job development and other activities. A CDC’s mission is normally focused on serving the local needs of low- or moderate-income households. Resident control usually takes the form of board representation.

More about the HOME program:

HOME is similar to CDBG:
CDBG (Community Development Block Grant Program): Title 1 of the Housing and Community Development Act of 1974 replaced eight former categorical grant and loan programs with a system of unified block grants, under which communities of over 50,000 people are entitled to receive funding directly from HUD, while other communities may apply for discretionary funding. Its purpose is to encourage more broadly conceived community development projects and expand housing opportunities for low- and moderate-income persons. A program under which Federal dollars are distributed to local jurisdictions to support commercial, industrial, infrastructure and housing development.