Hi Denise, if you want to split up an existing website in to two websites do the following:
1. Keep your old website
2. Create 2 new websites, one for each partner, and transfer the content of the old website to the appropriate new website.
3. Create 301 redirects from the old website pages to the new websites where they are now located.
Google and other search engines will then redirect any user looking for the old page to its new location. Search engines will also transfer whatever SEO value you have built up (they don't do this always perfectly, but adequately.)
Good luck!