Short version - pretty easy, at least if you can get an exemption from training.
The only hassle for me was getting to a Live Scan fingerprint place. After that, everything was
online, including creating/submitting the application and uploading a passport-style photograph and proof of training (or a DD214). The application has some things left over from their "may issue" days, like "reason", your recent employment history, and contact info for three references (and their employers), but they apparently no longer contact any of these folks.
About 30 days from submitting the app to approval, and another week to get the permit in the mail. Far easier than the DC process.