Here is something I compiled awhile ago. If you wanted it to fit on one page you could simply cite the verses instead of quoting them in full.
PSALMODY IN THE NEW COVENANT
1) The Psalms were sung in the New Covenant community.
• Matthew 26:30 “And when they had sung a hymn, they went out to the Mount of Olives.” (According to Edersheim and Hendriksen, the “hymn” was the Hillel, or Psalm 115-118).
• James 5:13 “Is anyone among you suffering? Let him pray. Is anyone cheerful? Let him sing psalms.”
• Colossians 3:16 “Let the word of Christ dwell in you richly in all wisdom, teaching and admonishing one another in psalms and hymns and spiritual songs, singing with grace in your hearts to the Lord.”
• Ephesians 5:19-20 “…speaking to one another in psalms and hymns and spiritual songs, singing and making melody in your heart to the Lord, giving thanks always for all things to God the Father in the name of our Lord Jesus Christ…”
2) Besides Genesis, the Psalms are more often quoted in the New Testament than any other Old Testament book.
3) The Psalms are full of revelations and prophesy about Christ, His work, and His life.
• Luke 24:44 “He said to them, “This is what I told you while I was still with you: Everything must be fulfilled that is written about me in the Law of Moses, the Prophets and the Psalms.”
• Psalm 2:7 “I will declare the decree: The LORD has said to Me, ‘You are My Son, Today I have begotten You.” (cf. Hebrews 1:5)
• Psalm 8:4-6 “What is man that You are mindful of him, And the son of man that You visit him? For You have made him a little lower than the angels, And You have crowned him with glory and honor. You have made him to have dominion over the works of Your hands; You have put all things under his feet…” (cf. Hebrews 2:5-8)
•Psalm 16:8-11 “I have set the LORD always before me; Because He is at my right hand I shall not be moved. Therefore my heart is glad, and my glory rejoices; My flesh also will rest in hope. For You will not leave my soul in Sheol, Nor will You allow Your Holy One to see corruption. You will show me the path of life; In Your presence is fullness of joy; At Your right hand are pleasures forevermore.” (cf. Acts 2:27, Acts 13:35)
•Psalm 22:22 “I will declare Your name to My brethren; In the midst of the assembly I will praise You.” (cf. Hebrews 2:12)
•Psalm 23:1-3 “The LORD is my shepherd; I shall not want. He makes me to lie down in green pastures; He leads me beside the still waters. He restores my soul; He leads me in the paths of righteousness For His name’s sake.” (cf. John 10:11,14).
•Psalm 31:5 “Into your hands I commit my spirit.” (cf. Luke 23:26)
•Psalm 34:20 “He guards all his bones; Not one of them is broken.” (cf. John 19:36)
•Psalm 40:6-8 “Sacrifice and offering you did not desire, but my ears you have pierced; burnt offerings and sin offerings you did not require. Then I said, “Here I am, I have come— it is written about me in the scroll. I desire to do your will, O my God; your law is within my heart.” (cf. Hebrews 10:5-12)
•Psalm 45:6,7 “Your throne, O God, will last for ever and ever; a scepter of justice will be the scepter of your kingdom. You love righteousness and hate wickedness; therefore God, your God, has set you above your companions by anointing you with the oil of joy.” (cf. Hebrews 1:8,9)
•Psalm 69: 9 “…for zeal for your house consumes me, and the insults of those who insult you fall on me.” (cf. John 2:17)
•Psalm 69:25 “Let their dwelling place be desolate; Let no one live in their tents.” (cf. Acts 1:20)
•Psalm 102: 25-27 “In the beginning you laid the foundations of the earth, and the heavens are the work of your hands. They will perish, but you remain; they will all wear out like a garment. Like clothing you will change them and they will be discarded. But you remain the same, and your years will never end.” (cf. Hebrews 1:10-12)
•Psalm 109: 8 “May his days be few; may another take his place of leadership.” (cf. Acts 1:20)
•Psalm 110 “The LORD says to my Lord: “Sit at my right hand until I make your enemies a footstool for your feet.” The LORD will extend your mighty scepter from Zion; you will rule in the midst of your enemies. Your troops will be willing on your day of battle. Arrayed in holy majesty, from the womb of the dawn you will receive the dew of your youth. The LORD has sworn and will not change his mind: “You are a priest forever, in the order of Melchizedek.” The Lord is at your right hand; he will crush kings on the day of his wrath. He will judge the nations, heaping up the dead and crushing the rulers of the whole earth. He will drink from a brook beside the way; therefore he will lift up his head.” (cf. Hebrews 1:13; 5:6 10; 7:17, 21)