alias brewski='brew update && brew upgrade && brew cleanup; brew doctor; brew missing; echo "Brewski Complete" | terminal-notifier -sound default -appIcon https://brew.sh/assets/img/homebrew-256x256.png -title "Homebrew"'
This is a simple alias I threw together years ago that will update, upgrade, and cleanup your brew installation. It will then run brew doctor and brew missing to check for any issues. Finally it will notify you using Terminal Notifier that it's complete. It's similar to running pacman -Syu on Arch or apt-get update && apt-get upgrade && apt-get autoclean on Ubuntu.
I've been using this alias for many years now and it's been done great. I hope it helps you too.