Yorkies and any dogs (pets) for that matter can mix and share a home happily with children with the proper management.
Of course if you tell the breeder you are interested in that you have children she most likely will sway you away from a "tiny" Yorkie and feel a Yorkie of larger size might work best in your home.
Even the most perfect children can do great harm on the itty bitty Yorkies, as some humans who are not familar with them.
Good luck, welcome to Yorkie Talk, and keep us posted on the outcome.
