FileApp Pro can move, copy or compress files to any selected folders within the app regardless of their type.
(In a hurry? Check out this alternate quick method for a single file.)
1. Open the folder containing the source files and tap the Edit button (the pen icon)
2. Select the desired files by tapping the selection button, or tap :Select All"
3. Tap the "Move", "Copy" or "Zip" button on the bottom action bar.
4. Navigate the apps folders to the desired location and "Select as destination"...
...FileApp Pro will do the selected action and will automatically come back to the folder of origin (where you were selecting the files).