Here's something we prepared for a similar question - the question included "how to do client virtualization too" - which should answer most of your question.
First the server side stuff - vSphere is what you're looking for. On VMware's site - products -> datacenter -> vsphere:
Here's a good picture of the VMware family of products and how they stack and co-exist:
http://www.vmware.com/files/images/...erprise-Hybrid-Cloud-Overview-104-900x740.png
For the physical server you install VMware ESXi Hypervisor (which is actually free). Then to get the nice management tools and HA and ability to migrate running VM's requires vSphere. There are two *reasonably* priced vSphere kits - Essentials and Essentials Plus - just skip right to the plus version. Regular is pretty much just vCenter server for management tools for up to 3 physical servers, Plus adds HA, vMotion, and Data recovery. If they really want to pinch pennies they could just install the free ESXi hypervisor to virtualize on the server now and purchase vSphere Essentials Plus kit with second physical server purchase - changing ESXi from free to purchased is just a license key change on the fly. Lastly two recommendations: we have had both VMware direct support and OEM provided VMware support - I would choose direct from VMware if possible even though it is more expensive than OEM; second - if you are going to buy an Essentials kit and don't expect to upgrade to Standard or Advanced VMware in the near future make sure you buy the max GHz's/ 6 cores / 2 processors in your servers so that you can maximize the Essentials license without replacing your servers (Essentials has a limit on processors/cores per server) - memory also but that is easier to add later and is also limited by the Essentials license.
http://www.vmware.com/products/datacenter-virtualization/vsphere/small-business/essentials-kits.html
Desktops - there are a couple ways to do this. The cheap(er) way and the right way
Now for the confusing part - for ViewSE clients virtualized you want to use VMware View
. Here's a good graphic of the environment:
http://www.vmware.com/files/images/screens_view/VMware-View-Diagram-large.jpg
I just talked to VMware because I wanted to know more about the Desktops side of this (we have considered going there at some point also). VMware View can be purchased as an add-on to the vSphere Essentials Kits for around 90/seat. Minimum increments of 10. You can also purchase View Bundle which has it's own version of vSphere for Desktops - 150/seat min 10. There are reasons to choose bundle over add-on that are a factor depending upon size of deployment - we can discuss on the phone if you want.
Client PC - I would look at something like a Wyse thin client or some sort of zero client like Pano Logic or Samsung PCoIP clients. Pros and cons for all of them. When buying a client even if not buying a thin client keep in mind there are different licensing requirements for MS Windows. There needs to be a MS Windows license for each Desktop VM and if the client is a regular PC then it may need a regular Windows license also. I can explain more if you need.
http://www.vmware.com/products/view/howtobuy.html