Answer:
A type of hammer that brings a room to order.
I march before armies, a thousand salute me. My fall can bring victory, but no one would shoot me. The wind is my lover, one-legged am I. Name me and see me at home in the sky.
It doesn't live within a house, nor does it live without. Most will use it when they come in, and again when they go out.
What kind of pet always stays on the floor?
This is in a realm of true and in a realm false, but you experience me as you turn and toss.
Disgusting creatures that would survive a nuclear strike.