move up vs travel

move up is not a noun while travel is a noun.

Word	Noun	Adjective	Verb	Adverb
move up	No	No	Yes	No
travel	Yes	No	Yes	No

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

Other hypernyms of move up include go, locomote, move.

move up (noun)	travel (noun)
	the act of going from one place to another
	self-propelled movement
	a movement through space that changes the location of something

move up (verb)	travel (verb)
move upward	change location; move, travel, or proceed, also metaphorically
move to a better position in life or to a better job	make a trip for pleasure
	travel upon or across
	undergo transportation as in a vehicle
	undertake a journey or trip
	travel from place to place, as for the purpose of finding work, preaching, or acting as a judge