^^ BF's VBulletin software has been modified to allow for imbedding of YouTube video and (finally) Vimeo; but not PinkBike ones. That may be on purpose, since PinkBike is, in a sense, a competing forum site as well. I'll ask, though, if the admins will ammend it to allow those too. Never hurts to ask.
To answer your question, it's just like image imbedding: click on the little film frame icon (next to the picture icon) in the edit window, then paste the YouTube or Vimeo URL. Or - - in the edit window, bracket the video's URL with
https://www.bikeforums.net/____________
. That simple.