I was going to ask if anyone had tried one of those!! I don't think either of my dogs would like that, but I've seen those kinds of purses/carriers in all different fabrics. I can't remember who it was, but one of the celebrities was carrying around their dog in one.
What about these backpacks where the dogs legs go through them...
3 Colors Oxford Cloth Sling Pet Dog Cat Carrier Tote Single Shoulder Bag s M L | eBay