All in Order of Prayer

When we pray where do we begin? Do we begin with those things that are near to us, or those which are near to God? When Jesus taught His disciples to pray He started by calling on God as He identified Him as our Father, then who He is, Hallowed (or Holy), and thirdly where He lives, in heaven. Then, after reaching out to God, He instructs us to pray for the world by asking that God’s kingdom and will come to us. Only then does Jesus teach us to mention our own needs. Is this how we pray when we enter into our personal time of prayer? Do we begin with those greater things of God before we ask for the lesser things that are about us?