push-bike vs bicycle

push-bike and bicycle both are nouns.

Word	Noun	Adjective	Verb	Adverb
push-bike	Yes	No	No	No
bicycle	Yes	No	Yes	No

As nouns, bicycle is a hypernym of push-bike; that is, bicycle is a word with a broader meaning than push-bike:

Other hypernyms of push-bike include bike, cycle, wheel.

push-bike (noun)	bicycle (noun)
a bicycle that must be pedaled	a wheeled vehicle that has two wheels and is moved by foot pedals

push-bike (verb)	bicycle (verb)
	ride a bicycle