It is crystal clear to me that you don't have time for this pup. You even said it in another thread. You made the comment that rescues would not adopt to you....NOW do you understand WHY?
http://www.yorkietalk.com/forums/3230973-post5.html
My suggestion to you is to make a choice and I am going to only suggest two options. Find him a loving home OR take the time with him that you do/did with your children. You CAN do that IF you CHOOSE to do so! Didn't you have to take the time to potty train them? And, didn't you have to take the time for other issues with them? If you had time for them, then you can take time for him IF you choose to!
IF you choose to take the time with him, you will have a wonderful companion for years to come. They are what we make of them! I have taken in some real problem children over the years and with time and patience turned them around. They are not going to just become what you want by a little wiggle of the nose. It takes time, love and patience!
Yes, he runs from you. I imagine he is afraid of you....your posts about him are quite depressing. These little guys are very intuitive. You say you are not hurting him...maybe not physically, but he knows you are fed up. Try a positive approach with him and you might be pleasantly surprised!
Here is a great link about housebreaking:
Free House Training for Puppies and Adult Dogs - No More Accidents Starting Today!