Deep litter--- while deep litter works on the ground, the bedding that is on a floor tends to stay much drier. Remove it as you need to to refresh. Use in your gardens as dumping in the run will create a mucky area eventually as you dont seem to have a lot of drainage with that native soil.
The run. Chickens will love scraps tossed to them, and the extra will decompose. Just watch the the top material is rather course and good draining to keep the girls dry. Remove the lowest level close to the soil level as needed, and dump in a garden.
We all started somewhere with a coop. Look at the Woods style for a great one. Stability is important, how material is attached to each other is key. We use PT if touches the ground. Purchase a few odds ad ends for the structure then use "found" material. Here I use plywood. It is free and the gaps are over a structural 2x4 or 2x3.
THe concrete blocks just hold water, and increase the rotting rate. I have a couple coops that were built on pallets layed on the ground. They have lasted some 4 years. Two need to be rebuilt as the flooring has rotted with out air flow underneath to keep them dry and prevent/slow down rot.