Unlike most devices, HomePod does not need to manually update the software. Everything is arranged in such a way that the operating system automatically checks for updates and, if necessary, installs the current version even without the owner's knowledge. However, if you want to update manually, it's not difficult at all.
It may take a while for the new version to display. If you know that the new version of the software has already been released, but HomePod does not find it, then you should try to update in a couple of hours.
You can discuss the settings of HomePod in the official Telegram-chat AppleInsider.ru.