You can share a video by copying the URL/Link that is on your browser, or by copying the link that appears below the video. Alternatively, you can share it on Facebook/Twitter by clicking in the appropriate button, below the video player, on the right.
Q: Is there any way to hide/disable the YouTube/Twitter/Download buttons upon upload perhaps? I preferred the simplistic view that the older site provided. Could it be an option?
A: You can hide buttons below video by checking the "Hide all buttons below video player" when creating a SafeView.