What we want is a clean rss feed from a website or our wordpress site, where we can publish the stories in the newspaper. we want a free website with the opportunity to post stories in at least four categories: ie: under the headings. News comment..etc

does this make any sense to anyone lol

Calibre may be what you need. It can put newspapers on to a Kindle in .mobi format.
The title of your post and your request don't actually seem to be related.

I usually use Calibre as mentioned above, to send feeds i'm interested in, direct to my free kindle email. However another option I sometimes use is Kindlefeeder - which is free for 12 feeds and integrates with Instapaper.

This won't help you get feeds from your website to your Wordpress blog (or vice versa) though.

Thanks, where can i find calibre

calibre-ebook.com. It took about 5 seconds to find via Google.
Are bloggers to cool to use Google?