Hello Pieter,

Sorry for late reply to this,
Do you mean that your old Easyblog site data migrate to your new site Easyblog right?
If yes, it's best that you create an export sql dump file through phpmyadmin and export the EasyBlog tables over. Here's the general guideline that you could use.

*Notice : If you already installed the Easyblog in your new site, you have to uninstall the Easyblog component and delete all the Easyblog table from your database first -> #__easyblog_*
Then continuous the following step :

1. Open up PHPMyAdmin tool that is provided by your hosting provider and open up your current site's database. (your old site 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