Sounds like you are set for composting. One advantage to turning an uncovered chicken run into a chicken run composting system is that you can relatively quickly start making more compost than you can use.
I just let my chickens do the work of turning the run litter, but nature does a great job of breaking down the litter given time, too. When I first started my chicken run compost system, I used to go into the chicken run with my 10 inch mini tiller attachment on my grass trimmer powerhead to turn the run litter to help speed up the composting, but I quickly had more compost than I could use so I don't even bother to turn the litter anymore. If there is any area that I want turned more, I just throw the daily chicken scratch on that area and the chickens will scratch and peck everywhere to get the treats.
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As a rule, I don't rototill my gardens anymore. But, I really like using this mini tiller setup to fluff up and mix up my chicken run compost with the topsoil in the raised garden beds before I fill them up.
For established beds, with plants in it, I prefer to use my small cultivator for better control. I can get right up to the plants without losing control of the cultivator and ripping the plant out by the roots.
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Both of those battery-operated tools are really labor-saving devices for me. Dear Wife used the cultivator all the time in her flower beds. It's just so lightweight and easy to control. It breaks up the soil in a garden bed which makes pulling weeds really easy.
I'll have to check into an earth auger for my cordless drills. I can see where that would be useful as well.