Nixie Tubes used to display temperature with a PID controller

Hello everyone, first let me say I have no clue where to go for help with this DIY project of mine. I stumbled upon this forum by searching information on Nixie Tubes so I thought I should start here.

First, I'm trying to build something similar to this.

The purpose of the Nixie Tubes will be to display the temperature of a heating coil attached to the box. I basically need the tubes to replace a PID temperature controller, so not only do I need them to display the temp. but I also need to use them to change and set new temperatures. Altogether I am trying to get rid of the PID if possible, so I'm assuming I would need some other way of controlling and adjusting the temperature. I just don't know how to go about replacing it and how to wire it all. I will post a link to a PID controller normally used for this application as an example and then I will post a photo of the wiring diagram using that PID.

PID Link

Thanks in advance.

First off: Those are not Nixie-tubes on the picture, but VFD (Vacuum Flourescent Display)-tubes

// Per.

Zapro:
First off: Those are not Nixie-tubes on the picture, but VFD (Vacuum Flourescent Display)-tubes

// Per.

Thank you for clarifying, clearly I'm new to this and need help. Is there anything else you can help me with please?

You will end up replacing the PID temperature controller with an Arduino programmed to be a PID temperature controller. You are not likely the first to want to use an Arduino as a PID temperature controller so a search for that on Google will probably turn up some examples. Most will probably use an inexpensive LCD display. If you want to replace that with a set of expensive (and high voltage) vacuum fluorescent displays, that can be done after you have the temperature controller working.