I have a female yorkie, 1 yr. 9 months, just got a male, he is now 12 weeks.
Sachi (male) bites Bellas hair, they run around "fighting"; yesterday bella knocked Sachi to the ground, had him on his back, was biting his head (he was crying) and then started dragging him as I approached.
I have to watch them together constantly, not sure if it is fighting or playing, but I know Sachi cries a lot when they do "play".
So in my case, it isn't double my fun, it's double the work to make sure the new yorkie isn't eaten while I am not looking.
I do adore them both though