Is it possible for me to download the replay as a .MOV or .MP4 so that I can put my replay on YouTube?
You can’t download the replay, you should record it then upload to Youtube.
No you can’t, replay file are different from video. You have to record it in order to do it.
@TOGA Read the OP’s post again. You didn’t get the idea.
Let’s just continue here and keep this replay inquiry to one thread. The guide provided is a great resource for how the replay system works. I promise you that once you read through it a few times you’ll be much better off in your conquest!