When moving, or transferring, a domain name between different domain providers, it is usually handled with so-called authorization codes (auth codes, epp codes).
The owner of the domain contacts their existing provider and requests a code, which is sent out via email (to the email address specified for the domain in whois). The owner then provides the new provider with this code, who in turn initiates a transfer of the domain.
A transfer can take anywhere from a day to a week to carry out. When the domain is transferred, all information about the domain name that is in whois is copied over to the new provider. Then the domain can be updated with the new provider (e.g., change nameservers, etc.).
Here's how to move a domain from Miss Hosting to another provider:
For .se, .com, .net, .org, .info, .biz, .nu, .eu, no:
Contact our customer service to have the authorization code sent out via email. Please note that 60 days must have passed since the domain was registered or last updated for authorization codes to be sent out for domain names under .com .net .org .info .biz .nu and .eu.