Cut kielbasa into 4 equal lengths; place in a pot with 3 quarts cold water, plus the bay leaves; cover and bring to a boil; allow to gently boil for 25 minutes more until swollen and cooked through and beads of oil have formed.
Pull sausages from the now smoky and seasoned water; set aside; save the water.
While the kielbasa simmers, split leeks in half lengthwise; soak and rinse in cold water to thoroughly remove all sand; slice leeks into 3/8-inch half-moons from whites to dark greens, as far up as is viable.
Peel potatoes, trim all four sides to stabilize on the cutting board and trim both ends to shape the potato like a “box”; save the scraps.
Cut the boxes into large cubes, about 3/4-inch square.
In a sturdy soup pot, melt 1 stick butter, over low heat, until foaming.
Stir in onion, garlic and a healthy pinch of salt; let them sweat for a full 5 minutes until translucent.
Stir in remaining butter, the sliced leeks and another generous pinch of salt; let sweat slowly over low heat for 8 minutes until moist, bright green and glossy.
Add potato scraps, the cube of bread and half the kielbasa boiling liquid.
Gently simmer 10 minutes while the potato scraps soften and the bread hunk becomes flabby and swollen; if you need to increase the heat to get a little simmer going, do so.
Meanwhile, slice kielbasa in half lengthwise; place two pieces back into the soup pot as is, and then slice the remaining 6 pieces into very thin, 1/8-inch half-moons; set aside.
Retrieve the soggy lump of sourdough bread, with a slotted spoon, and don’t worry if you also get a few bits of leek or onion or whatever is floating in the soup when you pull it out.
Also, remove about 1 cup of liquid; set aside.
Add potato cubes and the rest of the kielbasa liquid to the pot.
Add another pinch of salt and half the black pepper.
Let it come back to temperature; simmer until potatoes are cooked through; about 25 minutes more.
Using either a stick blender or a traditional blender, purée the sodden hunk of bread until foamy, using some of the liquid you pulled earlier, if needed.
Stir this back into the soup pot once the potatoes are cooked through; add the sliced kielbasa as well.
In a small bowl, whisk the crème fraiche with 1/2 cup of the hot reserved liquid; stir mixture into the soup.
Stir in the chopped dill and the remaining 1/2 tablespoon pepper; serve very hot.