handicap vs disadvantage

handicap and disadvantage both are nouns.

Word	Noun	Adjective	Verb	Adverb
handicap	Yes	No	Yes	No
disadvantage	Yes	No	Yes	No

As verbs, disadvantage is a hypernym of handicap; that is, disadvantage is a word with a broader meaning than handicap:

Other hypernyms of handicap include disfavor, disfavour.

handicap (noun)	disadvantage (noun)
advantage given to a competitor to equalize chances of winning	the quality of having an inferior or less favorable position
something immaterial that interferes with or delays action or progress
the condition of being unable to perform as a consequence of physical or mental unfitness

handicap (verb)	disadvantage (verb)
injure permanently	put at a disadvantage; hinder, harm
put at a disadvantage
attempt to forecast the winner (especially in a horse race) and assign odds for or against a contestant