What is the difference between a metaphor, personification and a simile?

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Simile, metaphor, hyperbole, and personification are all figures of speech.

Simile compares one thing with another thing that is of a different kind. It uses "like" or "as" to compare. Ex: She is as blithe as a lark. Your words are like balm to my aching heart.

Metaphor is similar to simile, except that it does not make use of words "like" or "as" to compare. Ex: The living room was a war zone after the boys left. The new leader rules with an iron hand.

Personification attributes human character to something that is nonhuman. Ex: The trees lift their arms to heaven. The earth devoured the houses as the earthquake shook the entire city