Thanks for the share. Glimpsed through the book. It seems good. I've been in Bible studies where we memorize famous chapters like Psalm 23 and Psalm 91. I would say that a simple method is, read some important chapters either oneself or in a group. Then, as you repeatedly do so, you'll automatically be able to recite some verses from memory alone. One of my favorite Bible Chapters is Isaiah 53, I have a section on that in the Messianic Prophecies Sub-Forum. It was the First Chapter I memorized, I can recite it almost from memory, "He was crushed for our transgressions, oppressed for our iniquities, upon Him was the Chastisement that brought us Peace, and by His Stripes we are healed. All we like Sheep have gone astray, we have all turned to our own way, and the Lord has laid upon Him the iniquity of us all. For He was oppressed and He was afflicted, yet He opened His Mouth. Like a Lamb that is led to the Slaughter, and like a sheep before her shearers is silent, so He opened not His Mouth. By a perversion of judgment, He was taken away, cut off from the Land of the Living, stricken for the transgressions of My People, they made His Grave with the Wicked, and His Tomb with the Rich, although He had done no Violence, nor was there any deceit in His Mouth. Yet it was the Will of the Lord to crush Him with pain; when He makes His Life an offering for sin, He shall see His offspring, and shall prolong His Days, through Him the Will of the Lord will Prosper; out of His Anguish, He shall see Light; My Servant, the Righteous one by His knowledge will make many Righteous; for He will bear their iniquities. Therefore, I will allot Him a portion with the Great, and He will divide the Spoils with the Strong. Because He poured Himself out to death, and was numbered among the transgressors. Yet He bore the sin of many, and made Intercession for the transgressors" (Isa 53)
So, when you love a passage, and read it often, the verses will often stick in your memory. But yeah, nice topic. Definitely being deep in the Word of God will help us be better Christians and know and love God more. God Bless.