The typical "Hens and Chicks" Sempervivum are alpine plants from Europe, are fully cold hardy in most of the US. Chances are you can leave them outside for the winter.

If you want to keep it indoors, put it somewhere cold and dry, like an unheated garage, light is not needed. In the spring you can take it out again.

Though they are diminutive, these are not fragile plants at all.

I have the same plant, although we call it Hen and Biddies. This is indeed a hardy plant and so easy to grow. If the drooping petals are still firm, simply snap them off them stem, place them in fresh soil (broken tip down) and water. They need to be kept moist, but never wet for the first week, but they don't require much moisture at all after that...water lightly once a week or so and soon you will have more beautiful little biddies popping up! Good luck!

In Calif. I go one step further, I take the plant out of it's pot, turn it up side down and use a tweezer to take off all of the dried leaves. Spray it with soap and water, or Windex, to make sure there are no disases, cut off most of the roots, but not all and put it back in a clean pot with new fresh soil, and start over. This will prevent flowering however, but new babies will grow and you just saved the mother plant for next year to flower. Norma

Echeveria is also sometimes called Hens & Chickens, but don't put that one outside!

There are many many Sempervivums. Some will not be hardy in the conditions you seem to have outside. Many will, but they will need excellent drainage or to be protected from most rain and snow.

Elizabeth- When it gets cold Hens and Chicks start to look droopy and lose moisture from their leaves, not as plump. Don't worry, mine freeze every winter, get snowed on, etc. and come back better than ever the next spring. When you do your spring cleanup, just pull off the obviously dead leaves at the base.- Maureen