Moving files and folders in Tortoise SVN

If you want to do a simple in-place rename of a file or folder, use Context Menu → Rename... Enter the new name for the item and you're done.
If you want to move files around inside your working copy, perhaps to a different sub-folder, use the right-mouse drag-and-drop handler:

1. select the files or directories you want to move
2. right-drag them to the new location inside the working copy
3. release the right mouse button
4. in the popup menu select Context Menu → SVN Move versioned files here