Sing the Psalms!
Singing is an amazing tool for helping God’s word to stick in your mind so you can meditate on it.
Psalms Seedbed Website* has taken each Psalm and set it to meter, so that you can match it with a tune that you recognize. The wording of each is carefully chosen to, as best as possible, accurately reflect the original Psalm. Pick a Psalm and match it with a tune from the hymnbook, and sing (and memorize) it!
If you aren’t sure what meter is, they also have a great explanation of how meter works: http://psalms.seedbed.com/meters-and-tunes/. You can find what meter a hymn is both above the music, and also in the back of the hymnbook.
If you’re looking for the recorded music to hymns be sure to check out https://www.magnifyhimtogether.com/2018/08/22/hymn-recordings/.
And finally, if you can also find simplified hymns here, for playing some of the Psalms as you learn them!
*This website is not Christadelphian, and we do not necessarily endorse all of its material.