Customize Product Name Lookup Window?

Customize Product Name Lookup Window?

I have a question about customizing the "product name lookup" field that pops up when adding a product to a sale order.  I would like to be able to customize:
a) What appears in this window
b) How the information is displayed
c) The size of the window
d) Be able to filter based on product categories to limit what I see

Is there a way to do this?  I have searched the Help pages and did not find anything.  Attached is a screen shot of what I am talking about.