You've got the right idea. You can tie or weigh vertical branches down so that they will start fruiting in future years, or if it will be too much trouble doing that, or if there are too many verticals that will just shade the lower branches too much, you can just prune them off. You'll probably need to do the same thing each and every year for the life of the tree if you want to maximize fruiting wood and sunlight penetration into the lower portions of the tree. In the end, it's your tree, and it's up to you how much effort you want to put into training it and pruning it into the form that you want, because the tree doesn't know what's best for you -- the tree basically only knows how to grow either up or out in a response to maximize sunlight to all its leaves, not to the fruit or fruit buds. It is therefore up to you, and not the tree, to shape the tree any way that you want, to maximize fruiting and sunlight penetration, or whatever your goal is. Prune that puppy into shape. Or not. It's your tree and your decision. And you can take pleasure in all of it, from stick to bud to fruit to stomach.

you posted this in the GALLERY ... you need to replicate it on the DISCUSSIONS SIDE... and add a pic ken

There are several species of pine tip moths which feed on the terminal growth. They do little damage to the tree, but are so common that most white pines eventually form multiple leaders just as yours has done. You can do as jean001a advises, but chances are the same thing will happen to the new single leader. The pines currently growing with a single leader are vulnerable as well. It is possible to spray for the moths, but this becomes increasingly difficult as the trees grow taller. Most people just accept that their pine trees will eventually assume the multiple leader look.

Francis, your plant looks great, though some more light might make it more compact. It is not hanging (yet) because your glossy stemmed plant is a Hatiora salicornioides, the dancing bones cactus, not a hairy Rhipsalis. It will start to hang down eventually, but that will take a while.