relaxers and texturizers are the exact same thing.
no lye relaxers are basically "over the counter" relaxers. in the professoinal world, there is no such thing as no lye relaxers. the reason they sell no lye relaxers at stores is because after a while they stop processing on there own. since youre basically giving nonprofessionals a caustic chemical they need a way to safeguard the comsumer the best way they can.
also, there is no such thing as a kiddie relaxer. just like the "texture softener" the name is a marketing ploy to make you think youre giving your child something safer or better for their hair.
in the end, its all a relaxer.