I think Whatevergirl has the right idea.
If we have been baptized, we have died with Christ, that is, our old selves, with all of our sin and vice, has been put to death. We then rise into new life just as Christ rose. We relinquish the old and put on the new.
Saint Paul said it better than I can:
1 If then you were raised with Christ, seek what is above, where Christ is seated at the right hand of God. 2 Think of what is above, not of what is on earth. 3 For you have died, and your life is hidden with Christ in God. 4 When Christ your life appears, then you too will appear with him in glory. 5 Put to death, then, the parts of you that are earthly: immorality, impurity, passion, evil desire, and the greed that is idolatry. 6 Because of these the wrath of God is coming (upon the disobedient). 7 By these you too once conducted yourselves, when you lived in that way. 8 But now you must put them all away: anger, fury, malice, slander, and obscene language out of your mouths. 9 Stop lying to one another, since you have taken off the old self with its practices 10 and have put on the new self, which is being renewed, for knowledge, in the image of its creator. 11 Here there is not Greek and Jew, circumcision and uncircumcision, barbarian, Scythian, 7 slave, free; but Christ is all and in all. 12 Put on then, as God’s chosen ones, holy and beloved, heartfelt compassion, kindness, humility, gentleness, and patience, 13 bearing with one another and forgiving one another, if one has a grievance against another; as the Lord has forgiven you, so must you also do. 14 And over all these put on love, that is, the bond of perfection.
This is the dying to one’s self- giving up the old, putting on the new.