If you want something empty, the tomb is the way to go. The point of the manger is that Jesus was in it. The point of the cross is that Jesus was on it.
To give us God’s name, the name that is above every name, Christ gave us the exact words to say at baptism: the name of the triune God who is three persons, one God: “I baptize you in the name of the Father, Son, and Holy Spirit.”