The phrase "the island of Manhattan" primarily employs a literal description rather than figurative language. However, if you're looking for a figurative interpretation, it could be seen as a metaphor in certain contexts, particularly when considering Manhattan as a symbol of something larger (like urban life, culture, etc.).
Nonetheless, given the options you provided and the nature of the phrase being a straightforward identifier of a location, it doesn't fit neatly into the categories of metaphor, simile, personification, or hyperbole in a conventional sense.
If the intent is to assess the figurative implications of "island," then it could be argued that it conveys a metaphorical sense of isolation or uniqueness, but traditionally, "island" is taken literally here. Therefore, the most straightforward answer reflects its literal meaning without a strong application of figurative language.
However, for the sake of understanding figurative language categorizations: if "the island of Manhattan" was used in a broader context to describe something beyond its geographical definition, you might consider it metaphorical.
In conclusion, based on the standard definition of these terms, if forced to select from your options, I would lean towards "Metaphor," considering the potential symbolic implications of the term "island" in various contexts.