In result, your personal info, such as physical address, emails, telephone number, etc is hide from the public. Domain privacy is important because your domain record (ie. the WhoIs data) may also be used in ways that aren’t legitimate or desirable. Since anyone can look up a WhoIs record, spammers, hackers, identity thieves and stalkers may access your personal information!
Moving to another website consists of transferring the website’s files and databases, configuring your site with the new host, and directing your domain’s DNS to the new host. Once you pick a new site host, they can usually help you out with this process. The cost will depend on the host you’re switching to, but it will probably be anywhere from $150-$400.