I'd use datastore browser to move files / folders in this case. You don't need to download files to your admin machine. Move (cut / paste) operations can also be performed from datastore browser GUI, assuming that your ESXi host can access both - source and destination datastores.
If you feel yourself comfortable with commandline, probably vifs command (needs vCLI installed or vSphere Management Assistant (vMA) deployed) could be one of the best weapons of choice.
WBR
Imants