When taking a bath or shower, use only very gentle cleansers. Don't scrub too hard. After you take a shower or a bath, pat your skin dry gently. Be sure to moisturize all over with a natural oil such as olive oil. This will help keep the moisture from your bath in your skin.
Instead of scratching, try using ice to cool itchy areas. You can get an inexpensive gel compress and keep it in the freezer. Take it out and hold it over itchy areas whenever you need to. Keep a dry washcloth in your purse or pocket at all times. If you become very itchy away from home, soak the cloth in cold water. Hold it over the itchy area.
If you dust, use a cloth that is dampened with mild cleanser or water. The cleaner helps the dust cling to your cloth. If you dry dust, you simply move dust around, which can bother your skin condition.
You may think that keeping your house tightly sealed with help keep the dust and allergens down. But in fact it just traps them and allows them to accumulate. It is better to have ventilation in your house and to use a good heap filter where needed to capture the offending particles.
Make sure that your nails are as clean as possible. Scratching is one natural reaction to eczema. If your nails are dirty, then scratching can lead to a more serious infection. Stop this from happening by keeping tidy nails.