I agree with all the suggestions below but the one thing you may not know is that the body gives us physical symptoms as clues as to what is really going on, on the inside. This is so we can address the source of the problem, rather than just treating the physical symptom that is being presented e.g. eczema.
The emotional invitation for eczema to present itself, is from the feelings (subconsciously or consciously) of being unworthy or inadequate which are not your true feelings. The right side of the body is about the physical self (are you doing enough for your-self or looking after every one else?) and the left side of the body is about your spiritual self, are you meditating, doing yoga or maybe tia chi to relax and gain higher wisdom for you)
Sourcing a Kinesiologist in your area would definitely save you a lot of money in consultation time, creams, and time as Kinesiology will allow your body to communicate exactly what it needs to heal. As the lady from 'Energy for health' quite rightly states.
I also notice your 'name' is TanFreak and I wonder if you apply tanning agents or spray tan as the ingredients in these lotions are harmful to the body and would cause a build up of toxins to occur. The body would try to eliminate these toxins in the quickest possible way and that may be through the sweat glands under the arms in your case.
For kinesiology practitioners in your area visit :http://www.systematic-kinesiology.co.ukhttp://www.hk4health.co.uk/
I wish you well finding a solution
Very Best Wishes