traveling bag vs baggage

traveling bag and baggage both are nouns.

Word	Noun	Adjective	Verb	Adverb
traveling bag	Yes	No	No	No
baggage	Yes	No	No	No

As nouns, baggage is a hypernym of traveling bag; that is, baggage is a word with a broader meaning than traveling bag:

Other hypernyms of traveling bag include luggage.

traveling bag (noun)	baggage (noun)
a portable rectangular container for carrying clothes	cases used to carry belongings when traveling
	the portable equipment and supplies of an army
	a worthless or immoral woman