If you don't want to use palm oil but still want to make soap, there are some good alternatives. If you do use it we recommend sustainably-sourced palm oil.
Palm oil & alternatives: Sustainable sourcing
Vegan, Palm Oil Free Soap Recipe for Beginners
Vegan Glycerin Soap - Oh, The Things We'll Make!
Soap Making for the Beginner, Part I – Mother Earth News
Palm Oil in Cosmetics: Environmental Impact and Sustainability Concerns
Eco-Friendly Cold Process Soap Recipe + Instructions
Traverse Bay Bath and Body Palm oil, Soap making supplies. Organic, Sustainable, non-hydrogenated 32 fl
Vegan, Palm Oil Free Soap Recipe for Beginners
Organic Red Palm Oil Soap, Hydrating Bar Soap