Home: The house he lives in is a regular two story house with the necessities, like a kitchen downstairs and a bedroom upstairs. It's nothing too fancy, it's just a house that happens to be in a very empty place, other than the occupants and the many cds containing Kagerou Project songs, light novels of the subject, manga about it, and the anime series. Everything neatly ligned in the bookshelf in his bedroom. The living room just has a couch and a tv, while the dining room just has a table with two chairs.
Here's what a typical room in his house looks like. Here's a better view of the bedroom.
The domain he lives in in Fandom Square and located to the northwest is something that resembles what is called the
Heat Haze. The look of it is a city with red street signs everywhere and empty streets and empty buildings. There's sometimes a passing truck that aims at people for some reason. Unlike the Heat Haze from the fandom's lore, this one isn't always out to kill people or make them relive the day of their death over and over again. People can come and go as they please through a shimmering heat wave that's always present despite the weather and season in the corner of the city that acts like a portal to the place, but there's usually no inhabitants in this area, again for some reason. It also appears as a heat shimmer on the other side, both of them acting like a rip in the dimension itself. Because the shops aren't running and thus empty, he has to go outside of his domain to retrieve what he needs, a task he finds daunting.