Well, you will find as many different suggestions that work for individuals as there are people with eczema. For many people a short dose of steroids is all it takes to get the body working properly again and for others, daily and frequent moisturising is the answer.
For our family,
No SLS, no petroleum (rules out many of the diprobase, e45, pharmacy solutions).
Elimination diet to give your gut a break, then exclude trigger foods
Eat Vitamin A (carrot juice), C and D, oils to strengthen your immune system and reduce inflammation (coconut, borage, sunflower, olive oils, uncooked if possible - add to rice, salads, on pasta)
Rose hip oil as a moisturiser / healing oil and sometimes almond oil / argan oil but one of my DS's is sensitive to nut and seed oils so many natural products are also out.
Your body uses the skin to eliminate toxins and stresses and I find if we can exclude triggers (usually a combination of food, clothing, other products that touch the skin - washing powder etc) and feed the skin from the inside it reduces the amount if things I need to put on from the outside.
I am not in the UK so cannot suggest brands but we use olive oil based shampoo and argan oil shower gel. Don't forget that shampoo and conditioner also end up on your skin.
Be aware that if your body is stressed / sensitive at the moment for whatever reason, natural is not always suitable as many people are also sensitive to nut / seed oils, lanolin, aloe vera, pollen so go gently and keep it simple until you find the things that work for you.