Hi @blair34 ,
Standalone vSphere client is long gone and no longer available with current versions. This client is only available till version 6.0(which is end of life) and connecting via browsers is the way forward.
The VMware vSphere client (Windows) is out of use, but as some customers still need it I attach link where you can still get it:
In some cases the VMware vSphere client can be obtained from the ISO CD or directly from the ESXi Host in the older versions.