If you want to transfer your domain to new provider means you have to follow the below steps.
1.Get the EPP( Extensable provisioning protocol) code or Authorization code from your current provider and provide the Authorization code to the new provider which you want to transfer your domain.
2.After that you will be notified by email once your domain is successfully transferred.
3.Then you can enjoy their services and features .

From my personal experience i suggest 9Cubehosting.com to transfer your domain .Here they are providing domain transfer at low cost with lots of free services.I hope it helps to you.