The cheapest way to get a henhouse is generally to build one yourself. Prefab coops are very expensive, very tiny, and made of very poor quality materials. You will probably want to either replace the chicken wire with hardware cloth, or add hardware cloth over it. Chicken wire does a great job at keeping chickens in, but is not so great at keeping predators out! How large is your run, in feetxfeet? How many chickens do you want? Do you want standards (regular sized chickens, regular sized eggs) or bantams (1/2 size of standards, smaller eggs) Beginner friendly breeds:
-Orpingtons
-Barred Rocks
-Sussex
-Easter Eggers
-Australorps