Poisson Functionals encompass a vide variety of quantities, ranging from edge-functions derived from random geometric graphs to solutions of SDEs with Lévy noise. In this talk, we will examine the use of the Malliavin-Stein method, which allows us to derive central limit theorems by studying what happens if we add a point (or two), to our graph, say. The main result presented here is a Malliavin-Stein-type bound which works under minimal moment assumptions.