There is an non-toxic product that I used for cleaning mold off of surfaces. I think that it will work effectively for old fridgerators and it does not require multiple steps to follow. It does not have an chlorine or ammonia or any toxic chemicals.
I think it will work well using MoldZyme. You can see their site to find out about their products. They work for me... and I think these products will keep you out of harms' way and does the job without the hassle of mixing stuff together like your case.
tilex and about 99% of all bathroom cleaners contain chlorine and are damaging your tubs, tile grout and doing nothing but masking the mildew and mold on these surfaces. I recommend using an all natural enzyme based product, such as moldzyme to clean everything in the bath, regardless of the surface. Thie will remove any existing mildew and with contiued use will prevent its return. Not only ids it harmless to all surfaces it is harmless to people, pets and plants and you will be stopping the dioxins that are being offgassed by all of these chlorine based products. ... View related article.