One can move a droplet to another region with the following procedure:
Log into the droplet as root, and execute the command "poweroff".
Log into our control panel.
Select the droplet to move.
Highlight the Snapshots tab.
Highlight the Take A Snapshot tab.
Enter a distinct snapshot name.
Click Take Snapshot.
This may take a while depending on the complexity of your file system.
Once the snapshot finishes, click "Images" on the left navigation.
Beside your new snapshot, click the globe to make the snapshot available in all regions.
Click the green Create button top left.
Enter hostname. It is ok if this exists elsewhere. Ex: "my.domain.com"
Select Size, and region.
Under Select Images, highlight "My Images" and select the snapshot.
Recommended: Enable VirtIO (a checkmark indicates it is enabled).
Click the green Create Droplet button
After it creates, make sure it boots, and that the IP address is pingable.
Change your DNS settings, turn off the old droplet in the control panel, and test the new one. If all is well, delete the old droplet.
If you have any questions, let us know!
DigitalOcean Support Team