Once you get through the newspapers its time to move on to the other primary sources associated with the war. The sky is the limit here. Court cases, Articles of Session, State Constitutions, the Confederate Constitution, Executive Orders et al. Pick some and have at it. Read carefully and take copious notes.
Next, start looking at the writings/memoirs of key participants in the war. There are a bunch to choose from. It will give a good perspective.
It is important to remember here that many of these books will be written in 19th century style prose which is usually much more wordy and flowery than modern English. Some, like me, love it. Others hate it.