This is one of my favorite new refactorings coming up in the 3.2 release of Refactor! Pro. It's called Extract Method to Type, and it allows you to extract a block of code from one class to another class better suited to host the code block.
Here's a video showing this refactoring in action. I love the sub-menu allowing you to select both the target class and the calling local (when multiple target classes and calling locals exist).
While 3.2 is not released as of this writing, CodeRush and Refactor! Pro customers can get the latest daily builds from support@devexpress.com to have access to this feature right now. If you get a daily build and have a chance to try out this refactoring, let me know what you think.