In my experience with blizzards in a major suburban area, it's unlikely that you'll lose water or phone service. Electricity - now that's a different matter.
Without electricity, plan on a way to cook you some food (Coleman gas stove perhaps) and a way to keep warm if the outage is extended. I have heavy cold weather clothing and winter sleeping bags, although in practice it's rare that you'll need the max in a home environment (stranded in a car is different matter - don't go out unless you really have to, and then, don't take your Mustang with the street tires!)
Phones usually stay working where I am, or outages are brief. Just make sure you have a non-powered phone. If it has to plug into the wall in addition to the phone line it won't do you any good without power.
Anybody reading this forum already knows to keep adequate food and water stocks in their home, so that point does not require elaboration.