An indoor ceiling fan on a lanai will look fine for a season and then start to seize, rust and wobble. The rating on the box is the single most important thing to check.
Damp rated versus wet rated
Damp rated fans handle humidity and condensation. They belong on a covered lanai that never gets direct rain, or in a bathroom.
Wet rated fans are sealed to handle direct water. They belong anywhere rain can blow in, near a pool, or on an open deck. In most of Hawaii, if the fan can see the sky at any angle, choose wet rated.
Indoor fans have unsealed motors and plain steel hardware. Coastal air destroys both.
The box matters more than the fan
A standard light fixture box is designed to carry a static weight. A fan is a moving load, and a fan on a non-rated box will eventually loosen the box, then the mounting, then the ceiling.
Fan-rated boxes are marked as such and are either braced between joists or screwed directly to framing. Fitting one where none exists is usually the real work in a fan installation, especially without attic access.
Downrods, ceiling height and wobble
Blades should sit around eight to nine feet from the floor for good airflow, which means a downrod on most vaulted ceilings. A sloped ceiling also needs an adapter so the fan hangs plumb rather than at an angle.
Wobble is almost always an unbalanced blade set or a loose mounting, not a bent motor. A balance kit fixes the first. Only the correct box fixes the second.
Control options
Separate switches for fan and light need a spare conductor in the switch leg. Many older homes do not have one. A remote or a smart control gives you the same separation without opening the wall, and it is often the cheaper answer.
Avoid standard light dimmers on fan motors. They are not designed for inductive loads and they cause humming and premature motor wear.