Hello Ryan,

I am really sorry for the delay of this reply as it is a weekend for us here.
Ideally, it's best that you create an export dump through phpmyadmin and export all the Easyblog tables over. Here's the general guideline that you could use and it is also what we used previously when we migrated from old Joomla site to new Joomla site.

1. Open up PHPMyAdmin tool that is provided by your hosting provider and open up your current site's database.
2. Make a sql dump for all the tables that has the prefix of #__easyblog_*
3. Download the .sql file and save it on your desktop.
4. If your new site's database prefix also uses the same prefix , then you can skip this part. However, if you are using a different database prefix, you'll need to edit the .sql file that you've just downloaded, and do a search and replace of jos_ with your new database prefix.
5. Open your PHPMyAdmin and this time, open up your new site's database.
6. You should see an import link at the top. Click on that, and click on browse. Select the .sql file and click the run import button.
7. Install the latest EasyBlog on your new site <- Remember import the .sql file in your new Joomla site first before install the latest version of Easyblog

Hope this help.