Long ago, one group of Christians defined this change. They claimed they had a change of heart, "that we have no more disposition to do evil, but to do good continually." Their desires changed so much that they wanted to serve, love, and live like Christ would, and did not have even a desire for the pleasures of the world such as lust and selfishness.
This desire to do God's will at all times seems to largely define a spiritual rebirth. Those who are reborn don't seem to want to just repent of a single sin; rather they want to repent from sinning.
What are my desires? At times my heart hungers and thirsts after righteousness, and I abhor all selfishness and pride. But that change doesn't always last, at least not to the extent it should. Too easily I fail to find ways to serve others, to think only uplifting thoughts, to be everything He wants me to be.
And once again, I turn to God, seeking to be spiritually reborn.