John 21:17-19

I'm not sure if this is okay, and I probably should have asked if it was, but instead of having this be a statement post, I'm hoping this will be one in which my question sparks many more questions and many answers.
John 21:17-19. My version, New Living Translation, says, "Once more he asked him, 'Simon son of John, do you love me?' Peter was grieved that Jesus asked the question a third time. He said, 'Lord, you know everything. You know I love you.' Jesus said, 'Then feed my sheep. The truth is, when you were young, you were able to do as you liked and go wherever you wanted to. But when you are old, you will stretch out your hands, and others will direct you and take you where you don't want to go.' Jesus said this to let him know what kind of death he would die to glorify God. Then Jesus told him, 'Follow me.'"
Reading the passage as a whole, I understand that Jesus is telling Peter that if he loves him, he must "feed his sheep," or love those around him as Christ loves them. But for me, verses 17-19 stand out among the rest. Unless I am remembering my childhood incorrectly, I remember reaching out my hands, holding on to the fingers of my parents, and having them lead me around the house. I remember being at the beach and wandering towards the waves, only to have my mom pick me up and set me on the middle of the towel (the only place I did not want to be). I do not remember being able to do whatever I liked and go wherever I wanted to go. The question that comes to mind is, "What does Jesus mean when he says that when we are older, we will stretch out our hands and be taken where we do not want to go?" The only hint of an answer that I can come up with is this. When we are younger, we think of ourselves. We, for the most part, are unaware of the needs and wants of those around us. As we grow up and day by day become mature Christians and experience situations that call for us to feed Jesus' sheep, we desire to serve so severely that we reach out our hands, latching on to the nearest opportunity to serve. With our hands open to anybody, we are taken where we don't want to and should not go; towards the people of this world and away from Jesus. This is why Jesus concludes with the statement, "Follow me." Jesus does not want us to reach out to others with both hands and not be directed towards him. If I am completely off, or if God reveals another interpretation, please comment. Please.