Hot & Muggy is a coffee shop where Brian hangs out with Stewie.
In "The Book of Joe", when Brian spies Chloe, an avid runner arriving, he pretends to be a runner as well and succeeds in getting a date despite his clumsy attempt to impress her.
When Brian gets new glasses, his faux-intellectual persona becomes even more insufferable to Stewie as he observes him to pick up a girl in "Peternormal Activity".
Quagmire has a breakfast date with Carrie in "Must Love Dogs".
Lois is sitting outside with Bonnie and Loretta in "Carny Knowledge".