give away vs hand over

give away and hand over both are verbs.

Word	Noun	Adjective	Verb	Adverb
give away	No	No	Yes	No
hand over	No	No	Yes	No

As verbs, hand over is a hypernym of give away; that is, hand over is a word with a broader meaning than give away:

give away: formally hand over to the bridegroom in marriage; of a bride by her father
hand over: to surrender someone or something to another

Other hypernyms of give away include deliver, fork out, fork over, fork up, render, turn in.

give away (verb)	hand over (verb)
make known to the public information that was previously known only to a few people or that was meant to be kept a secret	to surrender someone or something to another
give away information about somebody
make a gift of
formally hand over to the bridegroom in marriage; of a bride by her father