It might be me as well but I didn't find an awful lot of info on there regarding general fitness. I was looking for the eyesight requirements anyway, which I found.
My understanding of it is that as long as you haven't got any limbs attached back-to-front you'll be ok. You just to be generally fit, have decent lung capacity and no major medical abnormalities.
The running every day for a month idea is a good one, though, and will certainly help you shed some excess pounds if you need to. Eat well, exercise, and for God's sake give up smoking if you do. Smoking and flying just doesn't work on any level, in my opinion.