Hello garymuma,
Great suggestion and it's already in the software!
When you have more than one report open, you can hold down the Control key and click on Tab. This sequence should move you from one report to another without the mouse, and scroll through all open reports as you continue clicking the Tab key.
For some more keyboard tricks, take a look at our ACI Shortcut Guide: http://www.aciweb.com/files/folders/72/download.aspx
-Jeanine of ACI Support