Reply #10: The styrofoam ones are cheap and reusable. [View All]

[Gormy Cuss]

If you can get them it's worth it for the convenience (easy on/off.) Good insulated faucet covers can be had for well under $10.
Wrapping in newspaper should help in a pinch but be generous with the newspaper and tape -- no exposed metal, period.

If any of the pipes DO freeze, do not try to thaw them out quickly.

Have you checked for shutoff valves? There may be a shutoff valve inside the wall from the hose bib if your house is less than 30 years old or so. This valve would be just for the outside line. If the line is on a wall outside the kitchen or bath the valve may be under the sink (not the valves on the water supply lines, a separate valve on the exterior wall.)