Do I have to change my domain if I get a new host?

No. Provided that the domain is registered in your name (as it should be), you can simply update your Name Servers (from where you manage your domain names) to that of your new host.

To host with SINGHOST.NET, you only need to change the Name Servers setting to:

• dns1.singhost.net - IP: 203.211.144.60
• dns2.singhost.net - IP: 120.50.43.5