Some more concepts:

A hurricane starts where there is a column of heated, moist air.  As the heated air rises, air has to be sucked in at the bottom to take its place.  The heated column of air functions just like a chimney.

It can only form where there is very little lateral (i.e., horizontal) shear in the wind column.  That is, hurricanes originate where the air in the center of the column is originally very nearly still, e.g., in the calm air in the doldrums.  If there is a strong wind constantly blowing the top off the heated air, a hurricane won't form.
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Once the chimney is established, why does the air swirl in a helix?

This is not the right place for an explanation of conservation of angular momentum and coriolis force.  The gist of it is that it swirls for the same reason that water in a toilet bowl swirls.  The wind speed is highest near the core for the same reason that a figure skater spins faster when they hold their arms closest to their body.

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