The tour begins with your private chambers, since you are already so near. They are, however, a blank slate - located at the tip of an upsidedown spire, there is room for your personal meditative sanctum and shrine to the Principle of Suffering, a spacious bedroom, study, and vault. How you wish it appointed is up to you, now - a mere thought will change it.
Further up the spire are guestrooms and your dining room, private meeting room, and a guardroom. Higher still are Hord's quarters and those of his immediate staff.
Eventually you come to the grand ball room, a vast circular chamber of perfectly mirrored ice and sharp, angular carvings around the walls. There is a balcony for a band and bar below it - the Circle of Envy produces the finest liquors in Hell.
Various other rooms are higher still, such as servants quarters, store rooms, kitchens, kennels.
At the wide, flat top of the spire is the garden - a near-perfect replica of the royal gardens at Regar, in the world of men. All sculpted ice and salt, with Demonic plants fulfilling the role of their earthly counterparts here and there. Some of your subjects stroll through the pathways, evidently on their break.
Amusing - the church of mortals always refers to Hell as such a horrible place without leisure or respite, but really; when you live here it's quite lovely.