Yeah, you still need to find your own place and pay rent on it. There are some subsidized places but not a lot.

Part of the disability benefit is continued for people in work as it is intended to help people work - to go towards extra costs like transport costs.

This would be sensible, so of course they won't do it here, because the only way to ensure disabled people have incentive to work is to starve them to death so they're hungry and desperate as well as disabled and will thus accept a lower wage and I'll shut up before I rant more.