I SOTC with oil on my hands.
But several people on here have tried SOTC while wearing rubber gloves and say it's the best thing ever! I've yet to try it, but that's cheap and easy, so give it a shot!
I use a minute dab of conditioner or moisturizing styler in my hands - just enough that my palms aren't dry. My favorite is Shea Moisture Coconut Hibiscus Smoothie.