What it means to give Jesus Lordship in our lives, is to recognize His right to rule in our lives, by right of creation (John 1:3) and right of redemption.
"For ye are bought with a price: therefore glorify God in your body, and in your spirit, which are God's" (1 Corinthians 6:20).
One of the most damaging attitudes of our time is the exalting of ourselves over others. Personal rights have been promoted at the expense of others. This is not good for society and it is certainly not the way God expects His body to operate.
As Christians, we need to develop a continual awareness that our lives are not our own. We do not have the liberty to do as we please. We should present our body as a living sacrifice unto God, recognizing that this is just our reasonable duty to the one who gave His life for us (Romans 12:1).
The Lordship of Jesus should be the determining factor in every action of a Christian (Romans 14:7-10). Every thought and action should pass the test, "Is this what my Lord Jesus wants me to do or think?" If the answer is not a definite "yes," then it shouldn't be done. "Whatsoever is not of faith is sin" (Romans 14:23).