cotton up vs cozy up

cotton up and cozy up both are verbs.

Word	Noun	Adjective	Verb	Adverb
cotton up	No	No	Yes	No
cozy up	No	No	Yes	No

As verbs, cotton up and cozy up are synonyms defined as:

cotton up and cozy up: ingratiate oneself to; often with insincere behavior

Other synonyms of cotton up include play up, shine up, sidle up, suck up.

cotton up (verb)	cozy up (verb)
ingratiate oneself to; often with insincere behavior	ingratiate oneself to; often with insincere behavior