Psalm 43 - When you feel you've been misunderstood or misrepresented and your reputation has been tarnished, you can trust the Lord to vindicate you in His time. God is always aware of the truth and He is never deceived. You will always have a reason to have "hope in the Lord." He is always trustworthy.
Psalm 44 - This Psalm shows the importance of parents teaching their children the history of the past which gives them good reason to want to obey and trust the Lord in the present. The people of Israel did not conquer their land with their strength but learned to lean on the Lord. The Lord is the One who know "the secrets of the heart" whether one is disobeying the Lord or someone is honestly living as they should.
Psalm 45 - This Psalm speaks of the royalty and majesty of Israel's coming King. There are implications for any of Israel's kings to live as they should, but the primary focus is on the future King who will rule in righteousness. This King takes great delight in His people and has rich blessings for them in His reign.
Psalm 49 - One of the important teachings of this Psalm is that riches cannot buy salvation. The wording of verse 8 should be understood that there are no riches in the Universe that can possibly cover the "cost" of redemption! Also, living one's life for the accumulation of riches is foolish. This Psalm makes clear that you can't "take it with you!"
Psalm 84 - Delighting in the "house of God" should not be misconstrued to mean your local church building. There is only one building in the Bible that was ever called "the house of God" and that was the Temple in Jerusalem. Your "house of God" is YOU! See 1 Corinthians 6:19,20. Also, our worship and our praying is ultimately enjoyed at the "throne of grace" Hebrews 4:16.
Psalm 85 - As you see in this Psalm not all the Psalms were written by David nor by anyone else of his contemporaries. This Psalm speaks of Israelites who have returned from being in exile. The encouragement is for these people to turn back to God.
Psalm 87 - This is one of the Psalms that speaks highly of Zion, the city of Jerusalem. It is considered glorious to have Jerusalem as one's hometown.