I found this book very helpful.
Unfortunately, as we found ourselves, a lot of GPs are not as up to speed with eczema as they might be. Once you get an appointment with the one specialising in skin problems make sure you only see that one for anything to do with your toddler's eczema.
We had the same problem, one GP after another, until we got the one who specialises in dermatology. She was scathing about her colleagues' advice and told us to only see her. And she proved to be a miracle worker for my toddler.
The scaly patches you describe are very common eczema symptoms for babies and toddlers.
It is caused by the skin not producing sufficient oil, drying out and becoming irritated.
You need to moisturise it with an emollient like diprobase frequently, by frequently I mean as in whenever it looks dry. You can't over-moisturise so you can apply it as often as necessary.
There are plenty of other emollients available if you find diprobase isn't very effective.
If it is very inflamed you may find your GP prescribes a very low dose steroid to get the inflammation down initially. Then you can keep it under control with moisturisers.
Oh, it's a good idea to moisturise before meals to stop food smears irritating the skin.