engage vs move

engage is not a noun while move is a noun.

Word	Noun	Adjective	Verb	Adverb
engage	No	No	Yes	No
move	Yes	No	Yes	No

As verbs, move is a hypernym of engage; that is, move is a word with a broader meaning than engage:

engage: keep engaged
move: cause to move or shift into a new position or place, both in a concrete and in an abstract sense

Other hypernyms of engage include displace.

As verbs, move is a hypernym of engage; that is, move is a word with a broader meaning than engage:

Other hypernyms of engage include act.

engage (noun)	move (noun)
	the act of deciding to do something
	the act of changing your residence or place of business
	(game) a player's turn to take some action permitted by the rules of the game
	a change of position that does not entail a change of location
	the act of changing location from one place to another

engage (verb)	move (verb)
get caught	be in a state of action
consume all of one's attention or time	go or proceed from one point to another
give to in marriage	progress by being changed
keep engaged	propose formally; in a debate or parliamentary meeting
engage for service under a term of contract	have a turn; make one's move in a game
hire for work or assistance	give an incentive for action
ask to represent; of legal counsel	have an emotional or cognitive impact upon
engage or hire for work	arouse sympathy or compassion in
carry out or participate in an activity; be involved in	move so as to change position, perform a nontranslational motion
carry on (wars, battles, or campaigns)	cause to move or shift into a new position or place, both in a concrete and in an abstract sense
	change residence, affiliation, or place of employment
	change location; move, travel, or proceed, also metaphorically
	dispose of by selling
	perform an action, or work out or perform (an action)
	follow a procedure or take a course
	live one's life in a specified environment