My only experience with homebrew is on macOS and I’ve switched to MacPorts there. Homebrew did some weird permissions things I didn’t care for (chowned all of /usr/local to $USER, if I’m remembering right). It worked fine on a single user system, but seemed like a bad philosophy to me. This was years ago and I don’t know how it behaves on Linux.
I also prefer Firefox, but when I need a Chromium alternative for testing, I opt for the flatpak (or the snap) version personally.