Hi, it seems that once you promote a piece of content to OUR PICKS, it then stays.  Is there a way to set content to be promoted only for a particular period of time -  Like scheduling it?  Cant figure that out.  Thanks

No

Once you promote, it's been promoted.  You can schedule promotions but you can't set a time to remove.  

 That’s what I was afraid of. Thanks for confirming 

Just promote more stuff to push down the pick.  

Also, you can check out Our Picks Enhancement by @Fosters.  He might accept your suggestion of a timelimit on picks.  

Will do, thanks!