Moving a Magento store to another domain is actually very straight forward.  Just copy the fileset across and import the database.  Once that's done change the `base_url` entries in the `core_config_data` table:

    SELECT * FROM `core_config_data` WHERE `path` LIKE '%base_url';

in PMA or similar and change the relevant entries to the new domain.  Also worth checking a `cookie_domain` is not set as this will cause issues if it's wrong:

    SELECT * FROM `core_config_data` WHERE `path` LIKE '%cookie_domain';

and update or even remove the relevant entries.

The last thing you will need to do is update the database connection details in the file `app/etc/local.xml`.

From here you will want to clear all cache and sessions by deleting the contents of the `var/cache/` and `var/session/` folders, clear your browser cookies and that literally is all you need to do.