My husband, children and I have started learning Bible verses. We learned an excellent technique from John Piper. You can listen to his system for memorizing scripture here:
http://www.desiringgod.org/ResourceLibrary/MediaPlayer/1795/Audio/. I also just love his website, in general. His main website is www.desiringgod.org. He truly points you back to God.
Do you have any tricks for memorizing Scripture? Please share. Also, a confession. My children are learning more verses and learning them much more quickly than I am.