It's not a vMotion but a Storage vMotion, this allows you to live migrate a VM's VMDK(s) from one datastore to another, where as vMotion migrates a VM from one host to another.
If you have the capability and sufficient storage space, then you can rename the VM and then migrate the VM. It's pretty much a point/click if you have vSphere, but if you're running on VI 3.5, it's manual or you can use the CLI
If you let us know the version of vCenter and if you have a Storage vMotion license, we can provide further details else it'll be a manual process
=========================================================================
William Lam
VMware vExpert 2009
VMware ESX/ESXi scripts and resources at:
VMware Code Central - Scripts/Sample code for Developers and Administrators
If you find this information useful, please award points for "correct" or "helpful".