Managed to find the free eNom account after I phoned eNom tech support, its located at the following URL: enomcentral.com
Free account link is sited at the top righthand side of the page.

All domains have been move to my eNom account, so I can now proceed with move to a new provider.

Was considering going with lunarpages until I read more than a couple of recent negative reviews concerning accounts having server overusage related issues and customer service on another forum!