Is it possible to break up an oVirt cluster into multiple clusters?

I have an Oracle Linux Virtualization Manager 4.3.6 cluster (think oVirt 4.3.6) that is hosting four different classes of VM’s.

I have acquired some additional hosts, and instead of adding them to my “default” cluster, I want to create three new clusters, and migrate each class of VM to its own cluster. 

Each class has its own network, and storage domains.

Can I migrate storage domains, and thus all the VMs within that storage domain?

Or will I need to build new cluster, with new storage domains, and migrate the VMs?

Most of my VMs are built from templates.  I assume that those cloned from templates will not be an issue.  But some of my classes are thin provisioned, and I suspect I will have an issue with migrating those at the VM level, which is why I want to migrate them at the storage domain level.