If you deal with eczema, then you should try to stay away from stressful situations if at all possible. Stress can cause eczema breakouts. If you find yourself in a stressful situation, use exercise, meditation or some other form of relaxation to relieve it. It may just be that you can greatly reduce the effects of your eczema flares.
Be careful when you put on sunscreen. You never know what may cause you to have an outbreak of eczema. The higher the SPF, the more likely it is that the sunscreen may cause you to have an issue. Try and find something with an SPF of around 35. That should protect your skin from the sun and keep it in good shape overall.