Different widgets showing up on different pages.

I use Twitter and Facebook feeds in the side bars on my site. I would like to have the feed coincide with the category on the Category page. It seems the easiest thing to do is to set the Right Side Bar to run on the main page and the Right Inner Side Bar to run on the Category page. I could load separate widgets for the separate pages into the specific side bars. This seems like a simple initial solution...
What if I have more than two Category pages? Is the best solution to use a separate Side Bar for each Category, or can I somehow code the widgets to load by page? If page### the load Widget1....?