There are a lot of people moving their domains here from Godaddy lately. In addition to simply moving their DNS over to us completely – there are also many who are opting to stick with Godaddy and adding us on as secondary / additional DNS.
We remain advocates of "multi provider" DNS solutions but setting it up is always a bit more tricky. (If you do move over here completely, please do it in the sequence described in this post, to avoid any DNS outages resulting from Godaddy deleting your DNS settings before you are active here.)
The docs on Godaddy's side for setting up Secondary DNS are here.
Here are a few things you should know in terms of getting this working, specifically as it relates to using Godaddy as a master and easyDNS as the secondary: