What is the ruling on watching and drawing "clean" anime such as "Detective Conan"? Is it permissible to design using its images and images of children? And what is the ruling on listening to "Toyor Al-Jannah" songs while lowering the volume of the music?

It is permissible to watch animated films and series with Sharia-compliant controls. As for drawing animate beings, the اصل (general rule) is prohibition, unless there is an overriding benefit. It is not permissible to listen to anasheed (Islamic vocal music) accompanied by music, unless it is possible to listen to them without the music.