Psalm 7 - The inscription over this Psalm speaks of a man named, Cush, who apparently spoke lies and falsehoods about David. How did David respond? Wiersbe suggests if you have a "Cush" in your life, do what David did: 1 - Be honest with God, vs. 1-5; 2 - Let God be the judge, vs. 6-13; 3 - Wait on the Lord, vs. 14-16; and 4 - Give God thanks, vs. 17
Psalm 27 - This is one of those Psalms loved by many. You'll see why as you read. When you fear or are afraid, what do you do and where do you turn? David sought the Lord and desired to spend time in the presence of God! You can as you remember that the Throne of Grace is not someplace you visit from time to time. When you pray and say "amen," you're not saying, "Good Bye," nor are you necessarily leaving that room! You can live your life while dwelling in the presence of God!
Psalm 31 - God was a Rock of refuge for David and the Source of David's strength. David knew that God was with him in his adversities. David also knew his sin could deprive him of power, but coming to God he would find Him to be good and a place where David could hide.
Psalm 34 - I personally call this the "Testimony Psalm" of the Bible! It is rich in sharing the joys of those who "tasted of the Lord" and found Him good! This was what was shared in the cave where David and his men found refuge. Instead of bemoaning their fate, they rejoiced in God's goodness!