Hi there....I had this exact same problem with my male yorkie when he was about the same age as your little one. I have always had dogs but this is my first yorkie and I had heard how notoriously difficult they are to train and thought this was a housetraining issue and treated it as such. A quick scold when he started to pee on greeting etc.... The problem escalated so much that I actually started to consider rehoming my little guy (a huge thing as I adore him) because it was affecting our quality of life.
Anyway as it turns out this problem has a title! It's called submissive urination. There is loads of informaion on it on the internet. The dogs are actually giving you a signal that they acknowledge you as leader and that they are no threat to you. If you google 'submissive urination in dogs' and follow the advice you'll soon have no problem.
Even reaching down to pet them can be seen as a threat to these submissive guys!!
But the good news is that it is stated that a submissive dog can actually make a better pet, more loyal, not aggressive etc...
It takes a few months of careful monitoring of YOUR behaviour, not your dogs and you'll soon have a nice dry home again without having to carry your paper towels everywhere!!
My little guy is totally over this problem and I have a better insight into who he is, a great little character who is totally loyal!!
GOOD LUCK!!!!
