Gotham City is the home of Batman. and the Bat-Family place of residence was first identified as Gotham City in Batman #4 (Winter 1940).
Gotham City
Setting
for Setting in DC Future State: Next Batman (2025)
Suggested by user_266939
Gotham City has been dangerous but it became deadly following the joker War the mayor allowed the private law enforcement group known as the Magistrate to take over policing so-called mask crime—and that has given rise to a new Dark Knight.