At our school, the greywater from the bathing block and from the kitchen go directly out to small canals running past trees. We don't avoid any kind of detergent or soap, though I have managed to prevent use of drain cleaners and bathroom cleaners so far. But there are pretty large amounts of standard commercial clothes detergents like Tide, and who-the-hell-knows what kind of "products" our students use on their bodies and hair. Some of them have funny colored patches of hair sometimes so evidently they do use hair bleach and dye from time to time, and I know that most of them use various foul chemical sunscreens and even whiteners.
The willow trees have been thriving for 20 years on this diet. The trees that receive the bathing block greywater are much bigger than the other trees on our campus, probably because they get so much more frequent water than the others. I think you'll find that as long as you are using enough water so that things are diluted, then a lot of products will be dealt with by a good greywater system's ecosystem.
Art Ludwig's book is wonderful and you should get it ASAP. I don't have it in front of me right now, but I don't think sand filters come out as desirable in that book (somebody please correct me if I'm wrong). My memory of the book is that he prefers mulch basins around trees or plants, because the water is kept fairly shallow and thus aerobic, and the organic matter of the mulch (typically wood chips) grabs the nutrients in the greywater and becomes
compost.
Ludwig points out that putting greywater onto topsoil that contains organic matter and living things is one of the best and simplest methods, since the topsoil teems with a rich ecosystem of aerobic organisms. That's what seems to be operating at our school. But it might not be legal in your region and/or liked by you, since you do see some slightly smelly cloudy water on the surface before it soaks in. So Ludwig's mulch basins are probably a better bet.