Hi Jared. If you are using YouTube the best way I have found is to leave the original video with a very big and clear annotation pointing to your newly uploaded video. It's not very elegant but it's the best you can do with YouTube currently. If you find yourself doing this a lot I would recommend using Vimeo for video hosting as they allow you to replace the original video without changing the URL. This may be a Vimeo Pro only feature though just FYI. Hope this helps!