Last Updated: May 7th, 2011
Neither z4root nor SuperOneClick is currently working on the Charge (though I'm sure someone will come up with a one-click method soon enough), but guess what - Gingerbreak sure does. Follow these instructions, and you should have root and full /system unlock on your Droid Charge in a few minutes. Credit goes to the Exploid Crew and unnamed testers.
No custom recovery, such as ClockworkMod or RA, is available yet, but it is surely going to arrive very soon.
Last Updated: May 3rd, 2011
Update: I know that most of you have not yet received the update, and now we know why. According to its Twitter page, Motorola has said that it would be "rolling out in phases", so hopefully you'll start to see some update action soon.
Well, what do you know? It looks like one update wasn't enough for AT&T today - there are now two OTA updates available for the Motorola Atrix 4G, the second of which brings some long-awaited features.