I think the matter is your tables engine. I guess you are using InnoDB for your table. So you can not copy files easily to make a copy.
Take a look at these links:
http://dev.mysql.com/doc/refman/5.0/en/innodb-backup.html
http://dev.mysql.com/doc/refman/5.0/en/innodb-migration.html
Also I recommend you to use something like phpMyAdmin for creating your backup file and then restore the backup file on the next machine using the same IDE.