I've often thought about creating a module to convert from one page type to another which would allow you to map fields from A to B. Never did it though because I found other ways around doing this.
One way is as Brian stated. Another way is to use the Kentico Import Toolkit (KIT) if you have "a lot" of pages. You can simply make your source and target database connections the same and import into a different location in the content tree. Then delete and move the pages when you're done.
As Brian said, no easy way but there are alternatives, which may only get you partially there.