Liza and Jax with the help of Joshua turned an abandoned warehouse into their new home. It's not the perfect hideout but the reason why they're on earth is not because they're looking for luxury but to make sure Angelo opens up the portal to hell so that everyone escapes.
Maybe if that happens, if Liza can get Angelo to open the portal then her mother will pay more attention to her and no, she will never tell anyone that's why she wants to do this, she's not even telling Jax that. To Jax and the other demons that are now on earth, she's only doing this because it's fun and like the demon that she is she wants to make everyone suffer.
