Heat:  Keeping warm is a top priority.  For extended winter outages, consider limiting your activities to one warm, insulated room.  Have a backup heat source, or make arrangements to stay with someone who does.  If using an alternate heat source, make sure you follow directions to ensure its safe use.  Wear layered clothing that you can adjust as the need arises.  And, wear a hat.  A large percentage of our body heat is lost through the head.

Food and water:  This is another major concern during a longer than normal power outage.  Remember:  An unopened freezer will keep food frozen for up to 48 hours.  You can also store food in an ice chest.  As for cooking, most of us own camp stoves and BBQ grills, just make sure you have fuel/charcoal available and you operate them only outdoors. It's also a good idea to have an adquate supply of "ready-to-eat" (no cooking required) meals on hand.  Store drinking water in closeable containers.  Use sinks and bathtubs for non-potable water.  A portable chemical toilet could really come in handy.

Major appliances:  Whether the outage is brief or long, you should take steps to protect your major appliances (refrigerators, freezers, water heaters, etc.)  When the power goes out, unplug your major appliances, or better yet, turn them off at the circuit panel.  Leave your porch light on so you'll know when the power is back on.  After power is restored, turn your appliances back on one at a time.  Do this slowly, spreading it out over a 30-minute period.  This will help us stabilize power which will in turn prevent any damaging power surges. 

Plumbing:  To keep your pipes from freezing during a winter outage, let your faucets drip.  However, after two cold days without heat, consider draining your pipes.  Save some water for later use, then turn off your main water valve.  Turn your water heater off at the breaker and drain the tank.  Open all your hot and cold spigots to drain your pipes.  For boilers, talk to a professional.  If your pipes are already frozen, shut off the main water supply and open your faucets.  Remove insulation from your pipes and expose them to warm air, or wrap the pipes in hot, wet rags.  Consider calling a plumber.