Answer:
You use a knife to slice my head but you weep beside me when I am dead
I can wake you up in the morning but I require no electricity or winding.
I am black and white and full of fuzz
My head and tail both equal are my middle slender as a bee. Whether I stand on head or heel Is quite the same to you or me. But if my head should be cut off the matter's true though passing strange directly I to nothing change.
I'm many people's favorite place even though many don't remember their stay. You'll love to come but hate to leave if you get cold use my sleeves.
Give it food and it will live, give it water and it will die.