Sharing this as a fellow parents whose kids have eczema:
As there are many brands/types of eczema lotions/cream out there, some may work wonders for some but not all.
My personal opinion would be to try and see which lotion works best for your child.

As for my child (he also developed eczema when he was about 6months), my wife and I tried many brands and kept a very-minimal,if almost no, tolerance to any lotion/cream that contains steroids. Eventually we found Cetaphil Restoraderm works best to bring down and prevent flare-ups.
The more "potent" one we used was Natralia's Eczema & Psoriasis Cream, but I tend to use it as sparingly as possible as we were concerned that too much might condition my child's skin to develop a need to use an even "stronger" cream in the future.

Now my child is 6, and there are still flare-ups due to eczema causing situations i.e dust/unsuitable sun-screen lotions, etc., his skin is much better an all we can do is keep his skin as moisturized as possible. Resorted to the normal(cheaper) Cetaphil moisturizer at the moment.

But for me, bottom-line would be to keep skin as moisturized as possible.

I know!! Back then, wife and I had to be as thick-skinned as possible to pester anyone who's going to Australia to buy Eczema lotions/creams for us. One product we couldn't find here (during then) was the Natralia Psoriasis Eczema cream. Not to mention Restoraderm is more expensive than in Australia. I think it was MYR130 here, where as we got some friends to buy and bring it back for MYR60/per bottle... I think it was around AUD20 or less over there, provided you get from places like Chemist Warehouse, etc.