House centipedes will eat any intruders in your house, even spiders.
They do not leave noticeable poop either, so they are very clean. They may leave less tasty parts of their prey if they are full, tho.
They prefer darker and damper places than spiders, so if you keep dark and damp corner spots near the floor, like plant pots with humid soil in a corner, or a cool basement, you can reduce the chances of them eating your house spiders that prefer higher locations.
That way, your spiders will be safer, letting them eat the moths, flies, and mosquitoes that house centipedes have a harder time catching, while house centipedes will be more likely to stick to to silverfish, cockroaches, ants, termites, and the like.