Backing up images from many different folders

I have a hard drive that has many hundreds of folders scattered all over it that contain hundreds of images each.  The folders are labeled with the clients names and the images merely have the numbers assigned by the digital camera - hence many of the images have the same filename.  

I need to keep the images in their respective folders and so just doing a search for *.jpg will not work as all that gives me is the individual files.

I need a way to search for all folders that contain images so that I can then cut and paste just those folders over to a new hard drive.

Thanks!