Just so we know how much lawn we're dealing with, I've added some measurements to the photo below:
My first reaction was "Wow! That's over 500sqft of lawn!" Cutting that in half as per our first idea for a plan means about 270sqft of lawn. Here's an "artist's rendering" ;)
On the right would be the "chicken friendly" area (of course, in a perfect world, the coop would be in the chicken area, but we built the coop where it was in order to take advantage of the shade there. Oops. So, we'd have to shepherd the chickens from the run into the fenced area, but that shouldn't be too much of a problem.