The sign for "give" depends on your meaning.
GIVE is a "directional verb." Directional verbs are signs that
incorporate information about the subject and object (the doer and receiver
of the action). That means you don't have to use a separate sign for
the subject and/or object when you use a directional verb. This is
known as "agreement." Or "subject-object agreement."
me-GIVE-you (version 1) "hand to"
me-GIVE-you (two handed version)
GIVE-you (version 2)
This version of the sign give uses an "x" handshape.
GIVE-you (two handed "x" handshape version)
If I wanted to indicate "HE GAVE IT TO ME," all I'd need to
do is start the sign "GIVE" from a location that is farther away from my body
and end the sign nearer to my body.