I just solved the charset problem by using Notepad++.
The problem was that my PHP version is 220.127.116.11 and the hosting firms were 3.3.8. Because of that, it could not work with them.
To solve the problem open the exported SQL file, search and replace the
utf8, after that search and replace the
utf8_general_ci. Save the file and import it into your database. After that, change the wp-config.php charset option to
utf8, and the magic starts.
Note that it worked in a Hungarian database.