To access your authorization code,
- Login to your account
- Click on the domain
- Under Advanced Options - click on EPP Auth Info and here you will find the EPP authorization code for your domain
Did you know you usually don't have to transfer a domain to use third-party web hosting? Most hosting companies can provide you with their set of nameservers or DNS records to connect domains to their service.
One of the advantages of keeping the management with a dedicated domain registrar like Moniker is that you can always change hosting providers without moving the domain again.