I agree about moisturising, I didn't know that you couldn't moisturise too much. We were only doing it twice a day when infact more like 5 or 6 times was needed. Not a massive grease up! just a quick spread of the cream over the bad areas.
But only steroid cream will bring the really sore areas under control. Then when it has settled you can keep it under control, you hope, with creams.
I also found Epaderm cream the best, oilatum in bath, ecover washing powder, no fabric softner etc, etc!!!
Also I have to say, with all respect, that my GP gave me limited advice about eczema. Had to really push my HV to get an appointment with a specialist community nurse, think she was a childrens nurse? She said eczema would flair with illness, teathing, etc. Also found summer a nightmare with suncream, sweating, and running/rolling in the grass!!
Would also recommend reading The Eczema Solution (Amstrong-Brown) although mainly aimed at adults gave me real insight into the condition and good advice. I also read Understanding Childhood Eczema (Titman).
Good luck!