My understanding was that one bar was the Dr. Bronner's brand, and one was Dr. Squatch; is that right?
For me, both of those formulas have way too much coconut oil (which is very drying in soap), and way too much scent (which can also irritate my skin). I recommend formulating a very gentle bar of handcrafted soap that is less likely to cause that kind of dryness. If you are open to using animal fats, try this:
60% lard
20% coconut oil
15% liquid oil of choice (olive, avocado, sweet almond, rice bran, high oleic sunflower)
5% castor oil
Set the lye concentration to 33% (be sure to change it from water as percent of oils!).
Set the superfat to 5%
For a vegan bar, you could try
@KiwiMoose's
vegan recipe that she has so kindly shared here. Scroll down to post #16 to see the recipe.
Whatever you make, you can start testing it around 72 hours after making. But it won't be as mild or bubbly until it has cured for about four weeks. I recommend making a 1-2lb batch to start - that's enough for four to five bars. If you aren't sure you want to invest in this hobby, use what you have around, or buy inexpensive things at a thrift store, dollar store, etc. Plastic food storage containers work wonderfully as beginner soap molds, for instance, as long as they have the #5 recycle symbol on the bottom. Cardboard boxes work equally well if you line them with a heavy plastic trash bag or some freezer paper.
Good luck, and don't hesitate to ask if we can help you along the way!