What is a hardware router?

What is a hardware router? I have no idea what a hardware router is what is a router in general? What is no-IP?

A hardware router would be a physical box that you connect stuff to, i.e your modem and switches. For consumer level devices they normally include the wifi aspect and some even combine the modem…

No-IP is a service that lets you set your dynamic IP address to a static hostname, only really of use if you are running a server such as IP cameras or a web server from home…