I understand that the best breeding would be to breed a dog with a particularly outstanding trait/s to another dog of the same blood that possess those same traits. But if I have two dogs with the same traits that I desire but are not related in any way, what are my chances that they will pass those traits onto their off springs if breed them to each other? Would I have a better chance of my future pups possessing those traits if I were to breed that dog back to another dog of his bloodline but don't possess those traits?

I'm leaning more towards that the two unrelated dogs with the desired traits that they will pass those traits onto my future pups. The only issue is that I don't really know the background of the family members from both dogs very well.