Always Photoshop. I started using the obvious Liquify tool, but the results were pretty awful. It works better on smooth skin, b/c the hair on the players' faces made it almost impossible to do a good job. I had to add a few other tricks I gathered over the years... Fatify you say?
I never heard of 'Fatify', but I'd bet it's just a short-cut based on one or two "Transform" Photoshop tricks.