Just follow the rules if you want to hand-carry - must be in bottles of a volume not exceeding 100 mils, and the bottles must be in a ziplock back of a capacity not exceeding I litre. I assume those volumes must have US equivalents. Or put it in your checked-in luggage.
I’ve flown a few times with hair system products like c22 and lace release fluid, and as long as they’re under TSA liquid limits, it’s usually fine. I keep them in a clear bag in my carry-on. I flew Alaska Airlines https://alaska-airlines.pissedconsumer.com/customer-service.html last summer and had no problems at all.