Answer:
An iron horse with a flaxen tail. The faster the horse runs, the shorter his tail becomes.
What always goes to bed with his shoes on?
What has three ways out and just one way in?
I always follow my brother but you cannot see me, only him. You cannot hear him but you can hear me. What are we?
I can travel from there to here by disappearing, and here to there by reappearing.
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.