carrycot vs baby's bed

carrycot and baby's bed both are nouns.

Word	Noun	Adjective	Verb	Adverb
carrycot	Yes	No	No	No
baby's bed	Yes	No	No	No

As nouns, baby's bed is a hypernym of carrycot; that is, baby's bed is a word with a broader meaning than carrycot:

carrycot: box-shaped baby bed with handles (for a baby to sleep in while being carried)
baby's bed: a small bed for babies; enclosed by sides to prevent the baby from falling

Other hypernyms of carrycot include baby bed.

carrycot (noun)	baby's bed (noun)
box-shaped baby bed with handles (for a baby to sleep in while being carried)	a small bed for babies; enclosed by sides to prevent the baby from falling