As you can see from the photos, one of the many solution would be to store the firewood vertically near your fireplace. You can use only one storage line, or you can split up that vertical storage into a few smaller sections.
Another way to store your firewood would be in a horizontal space under or near your fireplace or wood stove. This way, you are not using any extra space in the house or the living room and also giving all the firewood a neat arrangement.