There's also the dolphin file manager, also terminal-based, which is either directly available or may be installed under pip (Python's package manager), I don't recall which offhand.
I tend to steer first to the first set, but dolphin's impressed me in the past.
All are FS/OSS.
I appreciate your recommendation, and yes there are times when a native Android GUI interface may be more useful. But if you're already flying Termux, full power of a keyboard and text interface may be preferable.
I also strongly agree that F-Droid is a preferable package manager and repository. I avoid the Google Play Store for all but a very small handful of packages (and generally avoid installing apps where at all possible regardless), and access Google Play Store when I do need to use it through the Aurora Store interface (itself installable & upgradable under F-Droid).
After over a quarter-century of experience with the Debian package repos, the experience of the commercially-oriented, surveillance-capitalism-based Android app store remains a very uncomfortable shock and disappointment.
Furthermore, I install packages from F-Droid whenever I can, and my overall mobile experience ia clean, unintrusive, and secure.
There are some shitty apps out there, but thanks to the efforts of all the Android developers, you usually don't have to use them.