Hi Tina, "Hurt" and "harm" as verbs are similar, since they can only be used for animals or people ("we harmed him" = "we hurt him"); however, "hurt" is usually an adjective ("the boy is hurt"), whereas "harm" is usually a noun ("I don't mean any harm"). "Damage", on the other hand, is done to objects (e.g. walls, TVs, etc.). Hope this helps! :)