[LunarBerry]

I use the John Paul/Paul Mitchel Oatmeal shamp/cond, as long as they aren't allergic to oats that's a good one. Otherwise you might make your own getting a pet-safe shampoo base. I haven't used this base on my girl yet (may try making something with it after I finish the set I got now), but I do use this base to make something for myself and I love it (I just add the essential oils and whatnots to it) I like that it has like literally 3 ingredients, leaves room for any additions or use as is.
Shampoo & Body Wash Base | Bath & Body Bases | Bases | Elements Bath and Body
Ingredients: Purified Water, Triethanolamine Lauryl Sulfate (for lather), Cocamide MEA (coconut derived foaming & emulsifying agent)
* Triethanolamine Lauryl Sulfate is used for lather. It is milder than sodium lauryl sulfate & best for fine or dry hair