When you edit or submit a deviation, under Options (below Categories) there is a drop down labeled "Publishing Options". Click it.
There is a drop down under that which says "Show Share Buttons". Select 'Hide Share Buttons".
Click "Update" to save the setting.
If you want to protect the photos you already have in your gallery, you will have to edit each one.
I hope that helps. It isn't foolproof. People can still do screen shots, but that takes more effort and most people just searching the web for pictures for FB, Tumblr, and Pinterest, won't go to that effort.
Just the sharing are not doing me angry it's just that they dont link back or delete my logos. Even put there own logos on my pictures that make me angry about it.
So sharing for FB is just a link its just when they use the picture illegaly that make me angry about it. And the sadest thing is when I put my logo right in the middle of the picture and I still find the picture on another page.
When you share to Tumblr and Pinterest, your link to DA is automatic, but as you say, people can delete that without much effort. It's the same with watermarks. If a thief wants it bad enough, those signatures can be erased using processing programs. It is too bad people don't put that much effort into their own talents.