Linking a category to a page

I'm sorry if this has already been discussed - I did a search but I am afraid my use of terminology may be a little off-kilter...

I am just configuring my blog and have run into a little problem. Basically I want to be able to add posts to two different pages. I have created two categories for this very purpose. When I mark a post category as "News" I would like it to appear on the homepage. When I mark a post as "Programmes" I would like it to appear on the New Programmes page.

However, I cannot see any way of linking a page to a specific category or vice versa. Any ideas?

Here is my blog - http://www.futurefarmingvoices.org.uk/


Thanks for this great WP theme btw - it is rather beautiful.