Prestashop integration into Wordpress or Joomla

We are developing an ecommerce site that uses Prestashop, and we would like to have Wordpress or Joomla to be integrated with our prestashop site. the main thing that we are looking for is to be able to have a module in prestashop that will populate wordpress or joomla posts into a field on prestashop. i.e articles related to this product. The articles would be determined by matching category words in Prestashop with the same article tags in WP or Joomla Along the same lines, in Wordpress or Joomla, we would like to automatically be able to ad products on a blog/article page that corespond to the topic. i.e if an article is on small solar panels, the script would grab the first few products and put in a side bar, or it could just be an automatic ad that is generated, that says something like . Click here to see our selection of Small Solar Panels, and then it would automatically link to the prestashop category for Small Solar panels. I hope this is not too confusing but these are the main two features we are looking for, we prefer joomla, but wordpress would be okay. Your bid would also include making our present prestashop theme, look the same and integrate with Joomla or Wordpress. thanks a lot, feel free to write with specific questions. thanks