I guess you are talking about the water purifier thing. A lot of items can be broken with an axe, but that's one of the items that isn't broken with it. You'll have to break the floor or foundation under it to make it disappear. You will not get the item back.
I have figured how to move the stuff you just hold the hand button on it until it lifts up then walk to the area you want place it and tap the hand button
