Who’s going to rent to them? Their credit will be destroyed.
Someone will rent to them but it probably won’t be a very nice place.
If they are working and the foreclosure is the only black mark on their credit they will have no trouble finding rentals. In fact the investor who buys their foreclosed home would probably love to have them as tenents.
You should check the rental listings sometime. Most of them now say something along the lines that they will rent to people with foreclosures as long as the rest of their credit is clean. So it is not difficult to get a rental with a foreclosure, especially in this market. And the rent is usually about half the cost of the mortgage payment.