As I understand it, dark matter is loosely clumped around the bright matter, held by gravity but otherwise not interacting with it.

According to the main view, dark matter floats throughout the galaxy (and outside) but is much more concentrated near the center. A tiny amount is probably crossing your body right now, but there's no way to feel it except for the minuscule gravitational force coming out of nowhere.

Dark matter appears to be distributed like a web, with concentrated regions responsible for normal matter collapsing into galaxies.

You can roughly "see" the dark matter web by looking at the web like distribution of galaxies.