I see there's a lot of info in the answers to this question.

I have used such CLI commands added to the context menu of the file manager (mostly Thunar's custom actions, which I favour over Nautilus, while I am in Xfce).

What I want here is a GUI program (although I imagine that the same or similar commands like wipe and srm would be used) because I prefer to have some kind of visible image and control over the process (I want a GUI not only for running the command, but for the entire process, one that maybe would display percentage, possibility of stopping the process, various settings listed, etc.)

In Windows there a are a lot of such (free) programs, most probably there are some in Linux too.