I am migrating a static magazine site to wordpress. I would like to have a frontpage displaying multiple categories with a few posts in each, e.g "politics", "environment", "health" and "technology". On top of that I would like to have a "latest news" category. The posts displayed in the "latest news" category will also belong to another category (and child category e.g poltics-->asia-->india) and show up on a page with posts only from the specific category (e.g a "politics" page), but they cannot be duplicate posts on the frontpage as long as they show in the "latest news" category. The categories would be displayed in a grid magazine type design. An example of what I am trying to accomplish is this site, a well-known pirate party blog.
Can someone point me in the right direction how I would accomplish this? Basically I would need to be able to have maybe ten loops in the same page, without any duplicate posts. Very grateful for any help.