I have cpanel access but am not sure what to do with this. (I'm not terribly clever at all this; this job for a small association I am a member of fell to me because I have run a Wordpress blog in the past.) There is a phpMyAdmin but I don't know how to use it very well. When I open it, there is only one database that comes up. I also have a backup of the website I created using cPanel's backup feature.
To transfer the posts, I used a Wordpress plugin in the Dashboard.