Answer:
Soft hairy from door to door. I am the pet that always stays on the floor.
What is harder to catch the faster you run?
I am the home for feathery animals.
I can wave my hands at you but I never say goodbye. You are always cool when with me even more so when I am high!
I am a chair that can move. What am I?
No matter how little or how much you use me, you change me every month.