We will present a full h-principle for the simplification of singularities of Lagrangian and Legendrian fronts. This roughly says that if the obvious homotopy theoretic obstruction to simplifying the singularities of a front vanishes, then the simplification can be achieved by means of an ambient Hamiltonian isotopy. We will then discuss several applications to symplectic and contact topology and explain the relation to Nadler's program for the arborealization of Lagrangian skeleta.