Elder David A. Bednar of the Quorum of the Twelve Apostles shares some of his thoughts on this subject.
People of integrity and honesty not only practice what they preach, they are what they preach. And the Savior stands as the finest example.
You and I must strive to become people of integrity and to be honest with God, honest with ourselves, and honest with other people.
Integrity and honesty with ourselves result from knowing and understanding who we are as sons and daughters of God.
You and I bear the responsibility to become people of integrity and honesty—people who are true and trustworthy when no one is watching and when no one else is around.
Becoming people of integrity and honesty does not occur quickly or all at once. … This gradual change of heart is one that the Lord accomplishes within us, through the power of His Spirit.