Like that other guy said, the whole line is "Thought Shawty was the truth, found out she was a cheater, we were supposed to takeover, I caught her bumping Ether." Well "The Takeover" is the diss song to Nas that Jay Z made and "Ether" was Nas' response
referring to the previous line, hes comparing his clique(crew) to be as big as the crips( a large gang networked over the us),walking has a double meaning, crip walk (dance), and literally walking
you can call me Caesar is probably famed Roman emperor Julius Caesar, it makes sense that billionaire HOVA would identify with him. Could also be labor organizer César Chavez, since Jay has helped out so many young talents. I think CZAR is an automobile??
The exact lyrics is "Ya im out that Brooklyn, now I'm down in Tribeca" which mean that he is no longer living in brooklyn, which is a kind of poor city, and that he is now living in Tribeca which is a rich city