re: I’m sorry I don’t understand any of that. I don’t use phpmyadmin.
phpMyAdmin is a tool in your web host control panel. There are many tutorials available which explain how to use it. A quick search yield this:
In the Export step, you would select only the Connections tables. After you import you would renamed the table with the correct table prefix (matching the prefix of the other tables.
re: Can I use filezilla?
Only to copy the images from the source to the destination sites like I explained. You have to use phpMyAdmin to migrate just the Connections tables. There is no other way.
If you are moving the entire site, like I said, you could use BackupBuddy or similar plugin.