With the way I have it they are based outside, but there primary flagships and their Kabal is known for the grand raids, and last a long time, so they may be strongly focused on the fleet, but may also have a home base.
"Hear our call children of the void, listen to the screams of your brothers and sisters, see the raining ash from your home. Do you have what it takes to stand back up, or will you fall like so many before you."
- Zorev Norterus, Archon of the Immortal Eclipse
Kabal of the Immortal Eclipse | Coven of the Shadow Flesh | Cult of the Black Rage