Object Follower

There are many solutions, I will show the most common:

Easy and ugly way: attach the object to you; you can do this by dragging it over you or by script with followerObject.transform.parent = you.transform. It will remain at the same distance but is very very ugly (help me to say ugly)..

Complicated and beautiful way: write a script that change the followerObject.transform.position.. Look at the ThirdPersonCamera script, I learn from it..

I suggest to read this link text and continue until it says Next in bottom of the page.. You will learn much more that you think :D

(I hope that you understand my english, forgive me if not :D )