I've been making soap for a few years now. It seemed like the natural thing to do with having a lot of lye around. After much experimentation I have found certain things that I like and certain things that I don't like.
For the most part I always like to put coconut oil in as it produces the best lather of any oil. I always look online and find different recommended ratios for various ingredients, as if you put too high a ratio of coconut oil in it will be drying to the skin. SO looking up a guide on oil ratios is essential and there are several good theories out there, so I don't want to recommend one. Experimentation is half the fun.
To combat the possible drying effect of the coconut oil I typically always use some percentage of olive oil (again look up recommended ratios), as it's very good for the skin, as well as shea butter, because there are ingredients in shea butter that do not saponify, which will help moisturize the skin.
So my main three ingredients I always always use are coconut oil, olive oil, and shea butter. Then I try to experiment with adding other oils.
My last batch was coconut olive, shea and sunflower oil, and it was excellent. I added a fragrance from an essential oil I found called "Sweet Dreams", it turned out fantastic, a relatively soft bar, but still quite firm and lathered beautifully with soft moisturizing suds. It took me a while to get comfortable with the ratios. And I still like to experiment, such as use corn oil, or peanut oil. I've used palm kernel before but wasn't a fan at all. Either way, I say experiment, you'll soon find something that works for your skin.
Also when you try new batches make note of how quickly it lathers as well as the type of suds it produces. I've found a wide range from thin soft really tight silky bubbles to thick frothy heavy oily bubbles.
My next plan is to use tepezcohuite powder and see how it turns out.
"Today a young man on acid realized that all matter is merely energy condensed to a slow vibration, that we are all one consciousness experiencing itself subjectively, there is no such thing as death, life is only a dream, and we are the imagination of ourselves. Here’s Tom with the weather."