Vinegar is a good cleaner but I wouldn't go as far as saying a disenfectant. Bleach kills all germs dead! Bleach is dangerous if applied directly to the animal but the nice thing about it is it dissolves easily in water so it can be rinsed off without issue.
I also use Simple Green D PRO 3 http://www.simplegreen.com/products_pro_3.php
That stuff kills fungus, bacteria you name it! I have several gallons in stock at all times, I get it in Home Depot.