My view's 'more' link needs to go to a page with exposed filters already selected
I believe you want to use Contextual Filters (or, the functionality formerly known as Arguments"). 

Expand the "advanced" fieldset on the right side of your View's admin panel.

If, for example, I select "Content:Type" as a contextual filter, and my main page output of the view has a path of "/testview" then I can go to "/testview/Page" and see all content of type "Page". Same with my other content types, which happen to be "Story", "Product", and "Slide". You can do this with features besides content type. It sounds like using taxonomy terms would meet your needs.