Thanks for the tip. I hadn't thought of doing it that way.
I move the whole torrent into a new location. Then I right-click on the torrent in the main window and choose Advanced/Set Download Location and then point to the new location. You may have to 'start' the torrent again.
Another thing to remember is that you can choose the download location before you start downloading. A lot of people seem to have a default download folder in uTorrent. I don't I choose the folder each time I download. If you click on the arrow at the right of the save as dialog you will get a list of recent folders and you can always go into Explore mode by ysing the little box with … on