Changing the title of your (xterm compatable) terminal window is old news .
Still, here’s a handy set of .zshrc stuff that lets you change it on the fly. For example, I have a dozen windows open, and size of them go to different routers. Each window (tab, really, iterm is excellent ) has the name of the router.
This code will make your default title user@host. Change your title with “title new-window-title”. Enter title with no options to just put it back when you’re done.