head for the hills vs take to the woods

head for the hills and take to the woods both are verbs.

Word	Noun	Adjective	Verb	Adverb
head for the hills	No	No	Yes	No
take to the woods	No	No	Yes	No

As verbs, head for the hills and take to the woods are synonyms defined as:

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

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

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