Congratulations on your new family member!
I have been using the Yorkie Splash and Shine products on Gracie for a few years now. I tried a few other all natural products but did not like the scent or the results.
Yorkie Splash and Shine
They are totally organic and vegan. Won't sting eyes though I would try to avoid them, of course.
The only other thing I like to use on her is WEN. Hair comes out just as smooth and shiny. The YSS products cost less so that is what I usually use. Love the results. I won't use detergent products on Gracie or me. Too drying and they cause itching.