I wouldn't start with Epictetus just because I think some of his lines can be easily misinterpreted, for example, the line about kissing your child and thinking about his death can really put people off.

I had the same initial reaction with Marcus, but honestly it might be because I didn't have the right translation (pick Gregory Hays's!!) and not enough background on the man. I would highly recommend watching this short series that mentions both Epictetus and Marcus: https://www.youtube.com/watch?v=nLD09Qa3kMk I truly think you'll see the Meditations in a different way after watching this. Also, Pierre Hadot has a very good (but scholarly) analysis on it in The Inner Citadel.

And for Epictetus, I always introduce him with the story of the Vietnam prisoner of war James Stockdale who in a way relied on stoic principles to endure the tortures he was inflicted. He wrote and lectured about the lessons there, Google him around.