IF quotes are from Amy Carmichael, who was a Protestant Christian missionary that served in India for 55 years without furlough and wrote many books about the missionary work there.
"Follow Me" shouldn't be too hard to understand, but let me share a few thoughts that might help you realize there's a little more to "Follow Me" than just following!
1. Follow as in "imitate." Now, consider Ephesians 5:1, "Therefore be imitators of God as dear children." To imitate means to "mimic" in Greek. Take God's actions and imitate them. And the way the structure of the Greek suggests that what you begin to do, you continue to do always seeking to improve your imitating.
2. Follow as to "read the directions and follow them." Psalm 32:8a, "I will instruct you and teach you in the way you should go..." This gives the idea of reading your Bible and obeying the instructions that are given. Good idea.
3. Follow as to "watch the One you're following." Psalm 32:8b, "...I will guide you with My eye." Some translations suggest God will "keep His eye on you while you're following Him." That's true in everything we do - God is always watching. But what I want to suggest is, instead of just reading the map, "look at the Guide!" If Jesus is with us, Hebrews 13:5, then why just read the Book and miss enjoying the Author's presence?! Look at Jesus as you walk with Him.
But more than just "look" the idea is to "look away from something or someone in order to really gaze at Another." That's the thought in Hebrews 12:2, "Looking unto Jesus, the author and finisher of our faith..." Verse 1 spoke of the "...so great a cloud of witnesses..." Hebrews 11 gave great examples of people who lived by faith. The writer is saying in verse 12 to take your gaze off the "cloud" and put your eyes on the Lord! Now, there's a great lesson to learn from the examples of others. But the key here is learning to "see Jesus!" This gets to the heart of discipleship. You're not just following a set of directions. You're following the Lord Himself! (More to come on this.)