I have nonscented laundry detergent, and I often wash my clothes with water only. I use unscented soap. Shampoo is more difficult, but I find a scent I can tolerate.
Some soap scents, like almond, make me nauseous, and I can't have "normal" soap in my house at all, I can smell it in every room. I've found a completely unscented soap that works for me.
I also try to find unscented dish washing solution and only use household cleaning solutions when I really have to, most cleaning I use dilute vinegar, or water, or small quantities od unscented soap.