I found William Irving's A Guide to the Good Life: The Ancient Art of Stoic Joy a very legible contemporary (if somewhat idiosyncratic) introduction to Stoic thought, and maybe more accessible/applicable than the classic sources.
Exactly! This book is my recommendation as well to everyone who seeks to learn more about stoics. It is easy to understand, you can relate to the things said, and it is practical! It makes you think and challenges your beliefs as you go on and on. It makes sense!