Convert php website into joomla or wordpress

I have a PHP website that I like to be functioning in an open source software like wordpress or joomla. I think not all functions are able to make in those open source content management systems, but it would be great the main part is. That would be better for functionality and SEO. It's a training portal with a search engine in it. There are like 2400 providers with some 35.000 courses. Also there are some 1.000 articles about learning. All these have to be transported into the new system. What functions does the website have now: - search for courses, articles and providers - registration new providers - login providers and change courses, profile and turn some ad functions on - place news - place articles - courses that have a title, description, price, short tags, url and in some cases paid keywords In my opinion it would be the easiest to move it all except the search and some other functions. These have to be placed into the frame afterwards.