Hot = highly fuckable
Handsome = highly fuckable or just fuckable
Cute = on your way to handsome or hot
Hot: Exudes sex. Generally a great body is involved. Example: Brad Pitt in Thelma and Louise.
Handsome: Classic features. May or may or not exude sex, more about the face than the body. Examples: Cary Grant, Denzel, Clooney in anything.
Cute: A certain charm, may or may not have handsome features, may or may not have a great body, but not unattractive. Often has that "something" special, which means: They aren't handsome or hot, but I'd still bend them over. Examples: Most adult actors who play teens on television dramas.
cute = newborn-11yrs
hot = 14-21
fuckable = 22-death
Hot = Very sexy. One can be hot without being handsome, beautiful or cute.
Handsome = Having classic, defined, usually square, masculine features. One can be handsome without being sexy.
Cute = Having adorable, juvenile or baby-like, sometimes rounded, facial features. Cute is typically not handsome, sexy or hot. See Chris Colfer (Kurt) from Glee.