If you have allergies, being exposed to what you are allergic to may make your eczema worse. Eczema is not an allergy, but some common allergens that could trigger eczema are dairy products, eggs, wheat and tomatoes. Other things that could make your eczema flare up are pet dander, pollen, dust and mold.
When buying a detergent, look for something that is not scented. If you are having trouble finding one that works for you, look for products labeled "free and clear" and see if they work. In addition, it may be best not to use a fabric softener at all. This product can cause an issue for people with eczema, so it is usually not worth the risk.