Kelly Clarkson is entering her post-talk show era. And, in celebration of her next chapter, she’s chopped off all of her hair. Clarkson debuted her chin-length bob on Monday, her shortest haircut in months. Beginning her day on “Today” and ending it on “Late Night with Seth Meyers,” Clarkson has hit the ground running as “The Voice” returns. Clarkson chose a trench coat dress and booties for her morning appearance and a long-sleeved black minidress and heels for late night, both styled with sheer black tights. Though Clarkson has had short hair in the past, she’s more often than not seen with a longer style. Clarkson was on “Late Night” to…