The Smartest Giant in Town Crossword

I am a pet. I am a man's best friend.
I can make milk too, but I am not a cow.
I am little and often chased by cats.
I have a very long neck.
I look like a dog. My tail can be bigger and I often have red hair.
You put me on when you walk outside.
You wear me around your waist.
You wear me around your neck with a knot.
I come in pairs and you wear me on your feet.
I have long sleeves and you can button me.
You wear me from your waist to your ankles.