Hi You can easily move Magento website from one server to another server in 3 very easy steps.
1. Delete the content of the folder /var // it contains cache and session files dont worry about this just delete this
2. Change the values of the file /app/etc/local.xml There you can find your connection string data (database user, host and name).
3. Once you got your database uploaded, you need to make some changes.
Run this query:
SELECT * FROM core_config_data WHERE path = 'web/unsecure/base_url' OR path = 'web/secure/base_url';
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+-----------+---------+----------+-----------------------+------------------------------+ 
| config_id | scope   | scope_id | path                  | value                        | 
+-----------+---------+----------+-----------------------+------------------------------+ 
|         2 | default |        0 | web/unsecure/base_url | http://www.somedomain.com/ | 
|         3 | default |        0 | web/secure/base_url   | http://www.somedomain.com/ | 
+-----------+---------+----------+-----------------------+------------------------------+ 
 |