I use a doggie bag and a plastic disposable glove and pick up at the same time as picking up my dogs poops from the lawn.
I've found a really good tool for getting up the chopped straw from out of the run, which isn't a big run but my girls free range all day.
Its a short handled plastic lawn rake. The same style as the long handled type that is used for raking leaves from lawns. I bought it from Aldi a few months ago and its brilliant. I just scoop all the chopped straw and droppings into a dustpan or shovel and straight into the bin. I tend to clean it out thoroughly about once a month and it only takes minutes.