A HUD listing is a home that had an FHA loan on it and has been foreclosed upon. Upon foreclosure, the lender deeds the home back to HUD, who then sells the home (HUD stands for the Department of Housing and Urban Development).
If a home is bank-owned, then the bank is selling the home as they have already foreclosed on the home and are now the owners. The banks utilize real estate agents to list and sell their homes.
Please keep in mind that foreclosure/bank-owned homes are typically sold as-is in their present condition. The bank will make no disclosures about the condition or even the livability of the home. Once your offer on a bank-owned home is accepted, you typically only have 30 days to close on the home, so be sure you are working with a lender who is able to turn around your financing quickly. Of course, you need to be pre-approved for financing before a bank - or any seller for that matter - will even consider your offer.
As an aside, I live in New Fairfield and love it here.