We have a look-out carseat. There are different sizes.... we have the Lookout II that works great for Shelby & Seymour.
I purchased a Vera Bradley carrier. LOTS of pretty colors and prints! It is really nice and has a small zippered storage area for cash, leash, etc.
Since we have 2 Yorkies, hubby will sometimes carry Seymour, and he prefers the black Sherpa Bag (something you may consider).
Good Luck with your new Yorkie!!!........