I did the enrollment back in Y2K. Had to go to my regional hospital (in Asheville) with my DD214 and fill out a bunch of forms. Have been in their system since then.
Are you guys trying to get service connected or just get in the system?
I finally received my service connection a couple years ago, so I can offer some assistance with the process.
Enrollment is the first step then. You you have your dd-214 then I believe you can still do your enrollment online. I did mine completely online and only went to the VA for my examination for my service connection issues.