I am actually using Susanna Epps book right now. Our professor made us read the Schuams Outline of Discrete Math but I just couldn't engage with the content of that book, so i decided to read Susanne Epp's book instead.
I also rented a copy of Grimaldi's Discrete Math textbook. My conclusion is this, Susanna Epp's textbook is perfect for those beginning in Discrete Math. It is filled with examples. The practice problems in each section have detailed answers that allow you to grasp the problem solving mechanisms behind each problem. I also believe that the ordering of the chapter flows really smoothly. I would definitely self-study with Susanna Epp's book because it is well written and self-contained. She also does not assume that the reader knows any discrete math.
After reading Epp's book, I would recommend getting Grimaldi's discrete math textbook. It covers a lot more advanced topics and it has interesting and challenging problems. My course of action is to finish Epp's book and then reading the later chapters of Grimaldi's book.
Check samples for the books you are interested and see which text provides a level of clarity that you can understand.