If this seems short, it's because it is. But I had a great Mother's Day. Hope you and your family did, too.
I suspect everyone would be willing to ask for verse 1 to be personally true. "May God be gracious to me and bless me and make his face shine upon me." I think even unbelievers would be willing to ask for this. What would it hurt, just in case there is a God?
Don't all of us want to be blessed as long as it is beneficial to me. Notice the beneficiary of David's prayer. It is not himself but God. In verse 2, David gives the purpose of verse 1. He prays verse 1 so that God's way and saving power may be known. Is that the way you typically ask for God's blessings? My prayer is often for His blessing so I may be better off rather than He be better known.
Doesn't that remind you of James 4:1-3? James says we don't have because we do not ask and when we do ask we don't receive because we ask for ourselves.
Considering this, reminded me of Matthew 5:16, "In the same way, let your light shine before others, so that they may see your good works and give glory to your Father who is in heaven." If my actions are to cause people to give glory to my Father, doesn't is seem appropriate my prayer should be for the same thing.
Father in heaven, forgive me of my selfish desire and use of Your blessing. Holy Spirit, just as You directed David to write these word, please lead me to pray and live them. Jesus, I desire Your saving power be known. May I use my blessing to making Your name known.