This software is written for the ESP8266. There are plenty of development boards available, all you need to do is choose one.
The ESP8285, which is basically just an ESP8266 with embedded flash memory, is also supported.
The ESP32 is not supported!
If you want to assemble the project yourself, you can find the parts you need here. We recommend the NodeMCU for this, and you can use either of the displays linked there.
Some of the most used boards for this project: