Luckily my run and coop are within a chain link fence that's right outside our backdoor, so I didn't have to add too much considering the coop is impenetrable and my run is covered with netting and chicken wire. I'd use hardware cloth but I feel it is unnecessary seeing how daytime predators are not a problem with this setup and nocturnal predators can't get into the coop.
Your setup sounds really solid! One day I wanna upgrade ours more so I have even more piece of mind, one upgrade at a time I guess haha.