Is there any way you can make sidebars unique to each page, so that they are different from one page to the next?

Check out the 'widget logic' plugin

Thanks, but what info do I need to put in the Widget Logic box to specify certain pages?

did you read the widget logic 'read me'? or go to the plugin page and read teh FAQ?

Ah yes! Now I understand. The page name goes in the brackets.

Thanks!