Where does the secret service live in the White House?

The secret service does not live in the White House. Actually it would be more appropriate to say that secret service agents do not live in the White House.

The US Secret Service is tasked with Presidential security and there are numerous agents on duty at all times, at the white house and wherever the president is or will soon be. Like any other job, when the agents are not on duty, they go home to their families. If they are traveling with the president then they are provided with hotel rooms.