Remote pan/tilt/zoom cameras that aren't expensive I can't quite tell if shopping/product questions are allowed here, but...I'm not sure where else to turn on the SE network.  I have no a/v experience.

I'm trying to gather info for a project here at work where we need the ability to remotely control various cameras during a webinar presentation from a host computer.

Ideal would be the cameras have the ability to pan/tilt/zoom on their own, but as I've found out PTZ cameras are expensive.

I know we can use something cheap like the Logitech Orbit camera, but we'd really like the ability to have decent video cameras hooked up to a multi-input control video box and then also have them on tripods that can control their p/t/z if that even exists.

tl;dr - So basically:

What options do I have if I want to remotely control multiple cameras via a single computer (pan/tilt/zoom) during a webinar, so that the host/actor can just speak/present and we don't have to manually operate the cameras or have dedicated cameramen?
You want a Pan/Tilt head.  Zoom will depend on having a camera that can have the zoom remote controlled and a remote control that can hook in to the zoom.  A pan tilt head can generally either be left sitting on a table or threaded on to a tripod.  They are, however, not cheap.  Expect to spend at least $300 for a cheap one and more if the camera ways more than a couple pounds.