Adopting a New Dog?

She'll be scared and bewildered at all the changes in her tiny life, so gentleness and patience is the answer. If the children are older they will understand this and co-operate, but if they are tiny themselves they will need to be supervised when with her.
You want a loving, secure and playful little dog. Just treat her as one of the family with her own special needs: she'll tire easily, fall asleep where she sits, and need peace to eat her food. Very gentle play when she has settled in a bit.