Hi Zeered, DS's eczema started like this -- it got worse peaking at about 6mo when he was covered head to toe but thankfully now (19mo) he is all but clear apart from the occasional flare-up.
The main thing is to try different creams to find which ones work. Epaderm made DS much worse. You will probably need to try a few before you find the combination that works.
In the meantime following these rules helped DS a lot:
Don't let his skin dry out -- moisturise as many times a day as you need to (we used to do DS at every nappy change, now he only needs twice a day).
Bathe in a specialist lotion like Aveeno or Oilatum (get on prescription). The recommendation is to bathe at least once a day but some find it's better to bathe less often.
Use Surcare or non-bio washing liquid, and no fabric conditioner.
Use only 100% cotton clothing.
Put LO to sleep in scratch mitts -- if he pulls them off, you can buy tops with built-in mitts from www.snugglepaws.com.
Some people find, when BF, that cutting out dairy and/or egg from their diet improves the LO's skin. However, this should only be done under the supervision of a dietician.
Most importantly, get a referral from your GP to a specialist. Most GPs know very little about eczema, a specialist can help with allergy testing etc. Waiting lists can be long so get the referral now, hopefully you won't end up needing it.
HTH -- there are loads of threads about eczema on here so it's worth searching them