Great work! Looks like you've got yourself set when it comes to mulching. If I remember correctly, some homesteaders condition their bales of hay by just leaving them inside their poultry coops, still baled. The chickens roost over them and manure the bales overtime. Others add nitrogen to them, spray their bales down, and even add minerals to help the hay be a little more plant friendly.

Lumnah Acres did the former method, letting the bales compost naturally over time, and then planted squash transplants straight into the bales. I would suggest watching his "How to Grow Food in Straw Bales". It's the same video I drew inspiration on for this post!