What exactly is my home wi-fi network?
It wants me to use my home wi-four network?
what is that?
iPhone 14 Pro Max, iOS 16
A home wi-fi network is a way of connecting to the internet in your home without having all of your devices connected to a router by an ethernet cable.
Typically you pay a cable tv provider or a phone provider for a connection to your home and either they or you provide a modem and a router (or a combination modem/router in a single device). The router broadcasts a wireless wi-fi signal in your house that your devices can connect to.
Also see: https://en.wikipedia.org/wiki/Wi-Fi
and see: Connect to Wi-Fi on your iPhone, iPad, or iPod touch - Apple Support