When I start the XCode device simulator for any given device type (using iOS 12.1), I see many of the default Apps shipped with the iOS. However, I am missing the Home.app for controlling the Apple Home Kit services.
Searching through the web I find plenty of tutorials how to set up Apple Home Kit or how to install individual apps, but I did not find any hint how to get the original Apple Home.app running inside the device simulator.
Can anybody help me out?
You can't, Home App relies on Bluetooth, BLE and other technologies that are not emulated in the iOS emulator.