handyman vs odd-job man

handyman and odd-job man both are nouns.

Word	Noun	Adjective	Verb	Adverb
handyman	Yes	No	No	No
odd-job man	Yes	No	No	No

As nouns, handyman and odd-job man are synonyms defined as:

handyman and odd-job man: a man skilled in various odd jobs and other small tasks

Other synonyms of handyman include jack of all trades.

handyman (noun)	odd-job man (noun)
a man skilled in various odd jobs and other small tasks	a man skilled in various odd jobs and other small tasks