using finder (copy, cut, bulk, move files between directories)

To move files, instead of copy: When you have your files selected, hold the command key, then drag your files to the new location. That will move the files, and they won't be left in the old location.
The Command key is also the "key" to bulk select. Just hold the Command key, then click on each file you want. The Command key will hold all random files that you click.
If the files are all located together, then you can also just click and drag across all the files. That makes it easy when they are all in the same window.
You can put a window in list view, then sort for the files, if they all start with the same name, or have the same creation date, whatever, you can sort so they are all together. Drag across to select all those files at once. Command drag to the new folder to move the files.

 

Also see this thread:
http://forums.macrumors.com/threads/how-do-you-move-a-file-and-not-copy-it.1940118/