I know how in pocket addition!
Get "maps for Minecraft PE" and make sure you have pocket edition on your device. Use the search function to look for "Stampy's lovely world-remake" hit the download button, and you have stampy's world in pocket edition! To find it, scroll to the bottom of your lost of worlds.
*NOTE: Stampy does NOT play in this world(not in PE) But its almost exactly the same as the one he plays on Xbox!