Answer:
A house of wood in a hidden place. Built without nails or glue. High above the earthen ground. It holds pale gems of blue.
Plow and hoe, reap and sow, What soon does every farmer grow?
Hard to catch, easy to hold. Can't be seen, unless it's cold.
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-Βlegged am I. Name me and see me at home in the sky.
Sometimes black, sometimes white, I have veins but no blood
Those with eyes bigger than their stomach will definitely leave the restaurant with one of them. It is named after a house pet as well.