I will try to describe as best I can:
I have a GoDaddy hosting that came with a free domain name. I am now aware how bad GoDaddy is and have purchased hosting elsewhere, I need to change the DNS on the domain located at GoDaddy as the hosting I have do not allow for domain transfers.
I enter into the DNS records for my domain name and find the name servers section: http://prntscr.com/5r7gyw
I have added the new ones as shown, however when I try to delete the old ones (top 2) it says they are read-only? Are GoDaddy providing a restrictive service here? Do I need to 'unlock' them? There is no option to do so in the menu.
If this cannot be resolved, how would I go about un-registering my domain name with GoDaddy and then buying it again through my new provider? is this possible. Any other options for me?