clean up vs tidy up

clean up and tidy up both are verbs.

Word	Noun	Adjective	Verb	Adverb
clean up	No	No	Yes	No
tidy up	No	No	Yes	No

As verbs, clean up and tidy up are synonyms defined as:

Other synonyms of clean up include neaten, square away, straighten, straighten out, tidy.

clean up (verb)	tidy up (verb)
make oneself clean, presentable or neat	put (things or places) in order
put (things or places) in order
finish attending to
make a big profit; often in a short period of time