Hi there , and Welcome to YT
COngradulations on getting a new Yorkie puppy ! how exciting . I am sure you and your family are going to do wonderful with her ! your correct that a little puppy is very much like a human baby. It is great to prepare your children on how to handle such a fraglie puppy , and what to expect with a tiny little yorkie puppy. You have been given wonderful advice already.
I just wanted to add, tto try not to overstimulate the new puppy the first couple days in her new home . Menaing , allow her to become use to her new home, and surroundings . She might be timid, shy or a little scared, or might not even want to eat the first day, this is something to watch out for. Have Nutra cal handy, because a young puppy could get hypoglecemia from not eating > Low blood sugar .Nutri cal , needs to be rubbed on her gums to prevent low blood sugar. Try to keep it low key for the little puppy , so she can feel relaxed , and get comfortable, used to her new home. Not to say that she can't be played with , just not too much , where she can become stressed out. She is going to be already stressed out, from leaving her littermates and mother. It's just something to remember.