Take the Yorkie, forget about the cat!
I have four cats and as much as I love them all, and would never part with them, they all shed! I joke that I belong to Costco for the good price on sticky lint rollers but it's true. I'm constantly cleaning cat hair off my furniture, clothes and floors. Only one of the cats is a true lovey dovey and the others only bother with us when they want. Get the Yorkie.