Cemetery of Ash
In NG+0, consider using this starting area to farm a small number of souls to help you level up a bit before proceeding to the second area of the game. The hollows drop Fading Souls. This route ignores the Sword Master because he does not respawn after you defeated him the first time. At this point in the game, you should have the Silver Serpent Ring+0.
From the Cemetery of Ash bonfire, kill every enemy on your way to the coffin from which you spawned at the very beginning of the game. Then head to Firelink Shrine, killing every enemy on your way and all enemies near Firelink Shrine. Essentially, you are dispatching of all enemies around Firelink Shrine and Cemetery of Ash. While equipping the Silver Serpent Ring+0, this route should yield approximately 585 souls, enough to get a level or two before you head to the High Wall of Lothric.
Farming souls: Cemetery of Ash, Dark Souls III
From NG+1 onward, you should be using a weapon capable of one-shotting each enemy in Cemetery of Ash. Below are some data on the approximate amounts of souls you would obtain if you use the above route for soul farming in various NG cycles. The data were gathered while equipping the Silver Serpent Ring+3, Symbol of Avarice, and Shield of Want. Each number within parentheses is the approximate percentage increase from the previous NG cycle.
- NG+0: 1,469
- NG+1: 7,495 (510.2%)