You might be allergic to something which is causing your eczema. Try not to use strong chemical-laden cleaners around the home, along with perfumed laundry products. Take your time to see if any kind of a pattern appears that goes hand in hand with the products you're using.
Taking care of your mattress is important too. Your mattress will accumulate dead skin cells, dust, dust mites and other irritating particles. This is why you need to vacuum your mattress on a regular basis to keep those irritants to a minimum. After all, one third of your life is spent in your bed so it need to be a safe zone.
You may find that rubber gloves or latex gloves can be irritating to your skin. In fact, many people are allergic to latex which has led to gloves being made that are latex free. So when you need to wear protective cloves, invest in some vinyl ones to reduce your risk of irritation.