Start in Organizer on the old PC and use the built in backup and restore feature. Your catalog and all media files will be copied. The link below covers all versions of PSE from v6 onwards.
Thank you very much for the info, it worked...a second question - after copying the pictures from PC to PC, do I have the ability to move folders/folder names to different locations/names without losing the Photoshop location (without the ? mark appearing on pictures that are no longer in the original location)?
It is OK to move within Organizer. Don’t use your operating system or you will break the file links and end up with missing files. Say you want to move from one folder to another; choose the folder tree view in the left hand panel. Go to your source folder and use Ctrl+A to select all and then drag to the folder you wish to store them in. The destination folder should highlight and you then release the mouse to drop. Alternative you can select images and use the menu:
File >> Move
Then click the browse button to select the destination folder and choose the displayed images to move.
Thanks again for your help with Adobe Elements...I was able to move my files from the folder location where I "moved" them to on the new PC to my desirable folder.