Though small and difficult to navigate around, Tyson is very fond of his apartment.
In part, because it was a gift from the Moriarty Mirrors; Sunshine, specifically. Once a safe house for members of the web, Tyson can say with certainty that his apartment is well protected and full of surveillance should anyone manage to set inside.
More generally, Tyson likes having an apartment that’s a comfortable distance from the London underground, close enough to most things he needs, and quiet enough that Tyson can take his dogs out for walks without his anxiety getting too bad.
If he needed to, Tyson is - as ever - ready to uproot his life and leave everything behind. However, he is glad that Sebastian hasn’t forced him to move yet, even though he definitely knows where Tyson lives. For the time being, Tyson gets to have this one little piece of permanence.