While the card is connected to the PC, try running a recovery program like
Recuva. In reality, this program finds deleted files so it may or may not find anything since your files weren't actually deleted.
Personally, I never "move" files when I want to relocate them... I always use the "copy" function, then verify they're present on wherever I copied them to, and then delete the original files later. "Moving" files a lot of the times results in files getting lost... many instances of this happening on the forums.
Unfortunately, I know of no way to recover files deleted from the phone memory. You might need to search for something on Google.