No need to re-program the PID unless the desired parameters change for a different device. To move from forge control to toaster oven control is merely the change of the power plug to the new device, and plugging in the new devices TC plug.
If you are running a HT oven, remember that a kiln will have a different plug than a toaster oven. You would have a standard socket and a socket for your kiln, side by side.
The direction I am trying to go in designing things is a modular system, instead of hardwired. Each thermocouple has a TC plug and TC wire . Each fan,oven, solenoid,etc. had a power plug. The control unit will have all the control systems desired and you just plug in the necessary peripheries. This allows the control to be used for several devices, and allows things like changing thermocouples,fans, or upgrading to a better tempering oven to be simply done without having to tear the unit down. It also allows the control to be quickly removed when the work is done, and stored in a proper environment for electronics. I have added quick connect fittings for the gas lines as well, so the tank has a delivery hose that snap to the input , and the forges have a supply hose that snaps into the output. If running a forge without the controller, the two hoses can be connected to each other.
The way to plan the build for such a system is make a list of all the devices you could conceivably control, and have the proper sockets and connections built in. Use proper gauge wire connectors and spade lugs ( HF wire connector kit?) to connect the components to each other. This allows changes and additions while designing the unit to be an easy thing. The additional cost is small, but the versatility and convenience is huge. Make the unit as a breadboard project to start with ( no cabinet). Ideas will pop into your mind and many changes will come to pass. Don't build it into a cabinet until you are fully pleased with the design and capabilities. At that point reconsider all the hookup and disconnect necessities, and provide an enclosure that is suitable for the final project. Allow extra room for future additions ( I bet there will be some). In a dedicated shop, with stationary equipment, the unit may be a panel mount ( salvaged circuit box works great), for a shop where things are moved around and in and out of the shop, a portable unit ( large tool box works great) is desired.
I am still working on the final build of "The Ultimate Controller". As soon as all the changes are worked through, it will be posted with complete build instructions, schematic and flow diagrams, and a parts list ( with suppliers).
Stacy