Hi Bart, the answer to your question will be different for everyone who steps in.
Sorry to say so: your English can be hard to decipher so I would advise you to use a translator to make yourself more understandable (i.e. deepl.com)
I guess you mean a HA yellow, a RPi5 (Raspberry Pi) and a NUC
It really all depends on what you want to run on it, if you are looking to buy a new device or 2nd hand.
Have a look in the hardware and installation section for recent/similar topics.
Zigbee is a good option if you need to go wireless, most of the time much better then WiFi but be sure to have a look at this advise: Zigbee networks: how to guide for avoiding interference + optimizing using Zigbee Router devices (repeaters/extenders) to get best possible range and coverage
I guess you wanted to say NOOB instead of NERD 