Where do the pots come from?

This is a multi step answer. First you must complete missions and daily tasks to win chests. In some chests you will get drawer knobs. Once you have built a drawer to LVL 5-7 you can occasionally expect pot fragments to appear when you tap it. They are a rarer drop (you will get many vases, and a few tool barrel pieces) so having multiple drawers will help you find these pot fragments. The pot is a 10 piece merge tree.