John R. Lott Jr posted a great article about HR 822 titled "What's Wrong With Making It Easier to Carry a Gun Across State Lines?"
Take a look at HR 822, it is straight forward, essentially similar to existing Federal law that tells States that they must recognize drivers licenses issued by other States. HR 822 tells States that if they issue concealed carry permits, they must recognize concealed carry permits issued by other States. It is only a few paragraphs long, and is so simple that even my 5th grader understandood it. Really. I had him read it and explain it to verify my theory.