Hi Angrlam, welcome to the site, I just joined last night!
Ok, I'm suprised no one commented on some other things. I'm sure you'll read on here there's no such thing as tea cup, that it is just term that a breeder will use to describe the smallest sized yorkie, smaller than normal, and most likely the most expensive dog you can find anywhere.

Ok, now that we have that out of the way- I agree with everyone about the puppy being by himself during the day, that is fine, they sleep during the day anyway, and just make sure he or she is either crated (the very best way to train a puppy) or is in a small area with pee pads. Do not introduce the puppy to a large area of your home until he or she gets used to being there, it should be a slow process. Crate training at night and while you are at work is the best way to go until he is potty trained, weather he is being trained to use piddle pads or go outside on a leash, use treats and much much much praise when he does what he's supposed to do. Even if you feel rediculous, make a big deal out of when he goes to the bathroom where he's supposed to, say things like "GOOD BOY!!! OR GOOD GIRL!!! YAY!!" And give him or her a treat. It really works well. They like to hear that positive reinforcement.
Now, a bit of caution the wind- yorkies are not normally ideal to go to homes with small children. - unless they are bigger yorkies, 6 lbs and up which I doubt you will end up with if they called it a 'teacup'. Yorkies are so fragile and tiny and if you have small children please please please be absolutely and positively careful when the yorkie is around the children. Never leave them alone together, especially while this baby is a small puppy. The yorkie will respond to the child exactly how it is treated. Small children do not realize how fragile these babies are, and if that puppy grows up to be scared of the children then you may have unwanted behavior in the dog as it gets older. Please just make sure that you always watch the puppy around the small children and that you try to teach the children how small and delicate the puppy is and how it should be treated.
I have a three pound yorkie and am getting a new puppy in a few weeks to grow up with and play with my older 3 year old 3 pound yorkie because, I am pregnant with my first child and he is due in May of this year. So I will need to excersize all of these things I talked to you about. I know how important it is, I know all about what can happen when puppies are left alone with small children and I am going to be absolutely careful about how I bring my baby into this world around the yorkies. My poor scooter isn't going to know what to think when I have a baby and all his attention is diverted to the human baby. This is why I am getting a puppy now so that it is 5 months by the time I have the baby and they will be playing and will be the best of friends by then. Scooter is so bored as it is, he needs Ceazar.
Ok that was very long winded and I'm going to end this now. I wish you the best of luck with your new puppy. Please, as soon as you get him or her, go the vet and have him checked out. It is important that you have bile tests done to check for liver shunt- a heart breaking fatal disease that runs rampid in yorkies and will cost $4000 to fix, or the puppy will die after living a short life. It will break your heart. Didn't mean to scare you or anything- just letting you know up front that these things should be checked out.
That having been said, good luck and we hope to see pictures!