From a fertility standpoint, the main chemicals to watch out for in skin care and hair care products are:
“Fragrance” This is often a cocktail of chemicals including prohibited phthalates. Natural essential oil fragrance is typically not a problem

Parabens (propylparaben, butylparaben; ethylparaben; butylparaben)

Diethylphthalate (other phthalates have been banned in cosmetics and personal care products).

Chemical sunscreens, such as oxybenzone and octinoxate.