head for the hills vs fly the coop

head for the hills and fly the coop both are verbs.

Word	Noun	Adjective	Verb	Adverb
head for the hills	No	No	Yes	No
fly the coop	No	No	Yes	No

As verbs, head for the hills and fly the coop are synonyms defined as:

head for the hills and fly the coop: flee; take to one's heels; cut and run

Other synonyms of head for the hills include break away, bunk, escape, hightail it, lam, run, run away, scarper, scat, take to the woods, turn tail.

head for the hills (verb)	fly the coop (verb)
flee; take to one's heels; cut and run	flee; take to one's heels; cut and run