Around here they only happen as brown-outs during the Summer, which always happen in the daytime, or from a line down/power station overload during a snowstorm. Daytime/brown-out, think "This stinks, grab my kid and go out for food/movie/walk on creek path. Nighttime snowstorm/blizzard....this gets a little more involved. Go through the following steps:
1-Reassure kid.
2-open cell phone, use light to locate flashlight. Use flashlight to locate the other flashlights & lantern & batteries for all. Get lantern set up switch to using it for light. Get candles out of closet & set them up in case we choose to light them.
3-Step outside & evaluate if this is something short term or the end of the world. If it is end of the world go back in to apartment & bunker down. (Like many others in this thread, I'm all kitted out for the apocalypse--or you know a couple of weeks w/o power & buried in snow...which given where we live is a statistically going to happen eventually.)
4-If it is *not* the end of the world, when I step outside be mobbed by neighbors who assume that because I have a light I know what is going on/am in charge/am an agent of the apocalypse.
5-Give the following responses to neighbors as appropriate:
--I don't know any more than you do
--Let's try calling the power company
--I'm sure it will be straightened out soon
--youhaveonesecondtostopstaringatmykidyoufreakorIwillgutyoulikeamackerel (joking, most of my neighbors are pretty cool)
6-Call power company and listen to tired employee explain that they know about the situation and have someone on the way and can we please stop calling?
7-Go back inside, find entertainment. Plenty of books/manga/comics, laptop is always kept plugged in so it should have full charge, hand-held games also kept plugged in while at home so they should be fully charged. (Though we always seem to end up reading in a pillow/blanket fort, usually Harry Potter, Urusei Yatsura or Sugar Snow Fairy.)
8-be slightly startled when the lights come back on in less than 2 hours.