If you have pets, take measure to keep their dander, dirt and dust from affecting you. That means they should not be in your bed at any time or on your couch. Consider getting their fur clipped to keep it short and to lessen the shedding. Also give them regular baths to keep them as clean as possible.
You may already know to change your sheets frequently but have you considered your curtains? Your curtains can attract a great amount of dust over time and that dust is released in the air whenever you open and close them. So you should wash them frequently or invest in some that are easier for you to wash.
When washing yourself, choose soap that is very mild instead of one with a strong fragrance. Many times, the fragrance or chemicals can be irritating. Look for something that is advertised as being appropriate for delicate skin.
Find out if you are allergic to anything in your immediate environment. If you are allergic, take steps to remove the allergen or mitigate exposure to it. Build up your immune system with B and C vitamins and a healthy diet. This will reduce any allergic reactions you may experience.
Taking certain supplements is great for those suffering from eczema. Most people simply do not get the nutrients they need from the foods they eat everyday; this is why taking supplements is beneficial. Fatty acids can decrease inflammation and relieve dry skin, while vitamins A,D,and E hydrate the skin and give it a better texture.