Thanks for the compliments! I planted my grape vines well before I built the run (they predate the run by about three years). I built the run right around the vines so that they come up directly through the center and out over the top of the run. I bought mine from a local nursery, but as Linn Bee said, it is very easy to take cuttings to propagate more. You can plant them inside or outside the run. If inside, protect them with wire around the bottom for the first year. At the end of the first growing season you trim the central cane(s) to the height that you want them (in my case about 5' up) and growth the next year emerges from near that last cut--a height well up out of the reach of snapping beaks. So, you really only have to protect the vine until it gets a woody bark and the tip of the vine gets out of chicken jumping range. The "trunk" (cane) gets thicker every year and the Thompson seedless are now about 4" in diameter. The great thing about vines is that they will go anywhere you train them, so it would be very easy to plant them on the outside of your run and still have them cover it all. The chickens just love the grape leaves, it is one of their very favorite things to eat. The vines give them continuous forage for much of the year here. I consider them fast growing (at least here in Tucson) and they get faster every year. I suspect this is due, in part, to the great amount of nitrogen they get from the soil in the run. I now have a trellis that suspends vines up above the coop and the vines cover it entirely by June, after having been completely cut back the previous winter. Directly outside the run I have a wire "flower box" that I plant various things in (snow pea pods in winter, sunflowers in summer, etc.) and it protects them from the chickens.
Overall, I can't say enough good things about having a vine to cover your run. I wouldn't be able to keep chickens where the run is situated otherwise because there is no shade at all there--they wouldn't last a single day in our kind of heat. When the vines cover everything they create their own microclimate that keeps it so cool underneath that it is their favorite place to hang out, even when given free choice to be anywhere in our yard.