Removing the manure from inside the coop is essential for your hens' health- especially since you have little head/air room in a A-shaped coop. Manure is 75% water, so as it ages it will make the air moist (with the potential for respiratory diseases) and gives off serious ammonia fumes. I use a kitty litter scoop to do a quick daily pick-up. Takes 60 seconds, and makes a huge difference in air quality. I also rake the run weekly and this greatly reduces the potential for a parasite problem. (It breaks the lifecycle of the internal parasites.) It takes just minutes a week. You might want to see photos and read about how I manage and compost the manure here:
http://hencam.com/faq/chicken-manure-management/