TUESDAY’S CAMPAIGN ROUND-UP….Today’s installment of campaign-related news items that wouldn’t generate a post of their own, but may be of interest to political observers.

* Despite the humiliations of his presidential campaign, Rudy Giuliani is moving closer to launching a gubernatorial campaign in New York.

* In a bit of a surprise, former Rep. Bob Beauprez (R) announced that he will not challenge Sen. Michael Bennet (D) in Colorado next year.

* In South Carolina, state Attorney General Henry McMaster (R) kicked off his gubernatorial campaign yesterday. In his announcement, McMaster took a not-so-subtle shot at South Carolina’s current governor: “There’s been too much dishonesty and too many scandals.”

* As if the prospect of a primary challenge weren’t enough, Sen. Bob Bennett (R-Utah) is now facing a new round of criticism from the Club for Growth, which is accusing Bennett of not being nearly right-wing enough.

* There’s already a large field of Arkansas Republicans anxious to take on Sen. Blanche Lincoln (D) next year. But might she also face a Democratic primary challenger?

* Confirming earlier reports, former Memphis Mayor Willie Herenton (D) said he’s sticking with his plans to take on Rep. Steve Cohen (D) in a primary next year.

Steve Benen

Follow Steve on Twitter @stevebenen. Steve Benen is a producer at MSNBC's The Rachel Maddow Show. He was the principal contributor to the Washington Monthly's Political Animal blog from August 2008 until January 2012.