Deseret Book has small Daily Reflections books with a daily scripture and quotes. I have three of them. One is "Stand A Little Taller" and it all quotes from President Hinckley with scriptures to go with them. Another is "Jesus the Very Thought of Thee" (by Millet and Newel). There is a new one called "When Ye Shall Receive These Things - Daily Reflections on the Book of Mormon"
The scripture for today in the 2nd one is " Verily, verily, I say unto you, He that believeth on me hath everlasting life." John 6:47
I hadn't thought of memorizing the scriptures from these books but I do try to read one every day.
These books are also a great resource for preparing talks for children in Senior Primary. There is always a paragraph or two relating to the scripture for that day.