Neat game, and great level design that slowly introduces mechanics to the player. Could use some extra feedback to polish it up more though; A visual indicator of where you will teleport, along with sound effects and maybe some gui displaying all of your super powers would greatly increase game feel. The art for the characters is charming, but the environment and bombs are a bit bland.
There were a few bugs I encountered:
* I died at the edge of the fourth room and when I respawned, I was in a black room with words (from one of the children that give you the powers)
* A magnet bomb that was moving towards me on one screen moved it's way to the next and killed me twice. (not sure if this is a bug but you should deactivate objects outside of view)
Your idea is original, and worked out pretty well despite the feedback flaws. Good work.