I found that the best book for catching fallacies for me was Daniel Kahneman's Fast and Slow (https://www.amazon.com/Thinking-Fast-Slow-Daniel-Kahneman/dp/0374533555). It allows you to identify the mechanics of fallacies, rather than their structure. From there, I would recommend Peter Boghossian's A Manual for Creating Atheists (https://www.amazon.com/Manual-Creating-Atheists-Peter-Boghossian/dp/1939578094 or Street Epistemology, as he would rather have called it).
One thing I strongly recommend is not naming the fallacies, especially with lay people. People will confuse the name of the fallacy with calling them something. "That's an appeal to ignorance" will be interpreted as "you're stupid"; instead, use a phrase or question like "isn't that conclusion based on your rejection of something that you find suspicious or don't understand?" or "if you don't see how this could be so without your god, how can you expect someone to do so with it?".