Answer:
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.
From that which comes within itself, It builds its table on my shelf.
A king without a crown
A pony trots his way through the world on these.
It can be in a hat, Or out of the bag. If you see it you'll be smitten, 'Cause it's fluffy like a mitten.
I hold two meanings. With one I may be broken, with the other I hold on. What am I?