How can I move files to different Dropbox folders on my iPad?
There is a move function within the dropbox app.
Go to the folder that contains the file(s) you want to move and click on the check icon.



Select the file(s) you want to move and click on move on the lower right corner. Now a new window will appear. Choose the location where you want to move the file and tab the choose button.



That's it.