My neighbors have a shih tzu who has the chronic runny messy tear stained eyes, and she gets her eyes cleaned out every nite with a Huggies Shea Butter baby wipe. My neighbor was amazed at how much more GUNK it go off than the pricey eye wipes you buy from the store. Kylie (white cat) gets her eyes cleaned with either those or the shea butter baby washclothes - both are tear free.
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