If you’re sensitive or are allergic to SLS, ysk that it’s in damn near everything - not just toothpaste and cleaning supplies, but also laundry detergent, soap, face and body wash, shaving cream, and bubble bath. It also goes by a plethora of other names, so that’s fun.
Hmm. It’s not silicone free, though, and seems to react with hair dye, so maybe use with caution.