Answer:
Cold head and feet; round as a ball; always turning around myself.
I begin and have no end. Eventually I will be the end of all that has begun.
I have memories but none of my own whatever's on my inside is what is shown. If I'm ever different it's because you changed me I feel like a decoration here for you to arrange me.
Though it be cold, I wear no clothes. The frost and snow I never fear. I value neither shoes nor hose and yet I wander far and near. What am I?
I can be long or short. I can be grown or bought. I can be painted or left bare. My tip can be round or square. (one word)
No matter how little or how much you use me, you change me every month.