Yes, you're on vSphere 4.0 and you do have vCenter 4.0 along with Storage vMotion license. You're actually licensed with the highest version available, so all features are available to you.
Here is a quick overview of Storage vMotion - http://www.vmware.com/products/storage-vmotion/
Make sure you have two datastore and the 2nd one has sufficent space for your VM, as it'll be moving it's disk contents. So if you have a VM that's 20GB, make sure the destination has at least 20GB. Right click on the VM and click "Migrate", you'll have few options, one of which is to Change Datastore, select one that has free space and this may take some time depending on your disks and how big your VM is. Once that is completed, the VM has now been fully renamed both the displayName + the actual files. Now you would then move the VM back, unless you have no reason to move it back. You would do the reverse and now your VM will be fully renamed.
The other option is to power the VM off and rename it manually which can lead to errors if you miss-name the wrong files/etc. The first method is the recommendation.
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William Lam
VMware vExpert 2009
VMware ESX/ESXi scripts and resources at:
VMware Code Central - Scripts/Sample code for Developers and Administrators
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