No, you do not need to change your domain name. You can simply update the nameserver details provided by your new host from the domain control panel to point your domain to your new host.
If you want to use Accuwebhosting Registrar DNS Zone for your domain name, then you need to update the A records (@ and www) to point your domain to your new host.
Visit our video tutorials to learn how to create your own nameservers and/or update existing nameservers.
