As I said I am far from an expert on The War of 1812 but this book by Pierre Berton is probably a good one, he is one of our greatest authors and his work is national treasure itself.
If you (or anyone else for that matter) are interested, historian Pierre Burton wrote two excellent books on the war, which were later combined into one book. It's a massive book that covers the war from its root causes, to the concluding peace talks. He follows the major figures (from generals, to political leaders, and notable people), armies and battles, and the countries involved as a whole and how they were coping with the war. He also uses accounts from people who were there, and follows them through key moments to create very captivating narratives. For instance, he might discuss battles in part by discussing a soldier or citizen who was caught in it, following them from start to finish. Burton is very unbiased, and I truly appreciate how factual the book is, while being so enthraling to read. He is one of the best historian authors in my opinion, and I went through these works very quickly.
Part of the intro, from an Amazon preview, discussing this engagement
I just included the last one to give an idea of what kind of writter Burton is.