There is no science to oil cleansing as far as what will and what won't work for you. You can omit the castor oil entirely if you find your skin responds better to that, or you could use mineral oil (not my personal favorite, but some find success with it, regardless). You could use warm water instead of hot if you prefer (those with rosacea should probably avoid the hot water). Some use essential oils in their main oil blend, others do not. It's all about customizing it to work for you. With that said, here are some suggestions...
My favorite washcloths are these. They are the thickest I've ever found and trap the steam in wonderfully.
I like to put my oil blend into one of these bottles for travel.
Some people who oil cleanse simply keep a jar of virgin coconut oil next to their sink and use that with no other oils combined. I don't personally find this effective (it doesn't remove my waterproof mascara), but many people have said that they love this!
I have used an emulsifying oil cleanser with my Clarisonic face brush. I massaged the oil cleanser into my skin well, used my wet Clarisonic, then pressed the warm washcloth to my face to remove the cleanser.
If you have acne, try using a mineral sunscreen and/or mineral makeup instead of chemical sunscreens and liquid foundations.
Equal parts oil and sugar make a wonderful body scrub. Use a finer sugar for your face.
Sometimes, especially if I'm wearing a full face of makeup over a chemical sunscreen, I will oil cleanse and follow up with a light soaping of good castille soap like Kiss My Face's Pure Olive Oil Soap or Johnson & Johnson's Head-to-Toe Baby Wash.