Copy and paste a link into the "What's on your mind?" box on Facebook and the URL stays in the comment section above the story's information -- the title, intro, and image -- when you share the link. The title of the article you are sharing is linked, so there is no need for an ugly link above it. And, in fact, it is quite easy to get rid of it.
When you paste a link into the "What's on your mind?" box, Facebook grabs the title and intro paragraph for your post, along with an image if available. After this information pops in below the link, you can simply delete the link before sharing your post. Deleting the link after the story information populates will not delete the story; instead, it lets you share the story without the clutter of a long link.
Tell me, which looks better to you, Exhibit A or Exhibit B:
The above is from my Facebook page, and you can see a similar result on the News Feed:
For more Facebook tips, check out these recent posts: