Obtaining robust predictions from string theory has proven to be very challenging, simultaneously due to the vast number of possible vacua in the landscape and to the overwhelming geometric complexity of Calabi-Yau manifolds. We will present a promising new approach, applicable in the subset of string theory vacua possessing a warped throat region, in the form of a systematic procedure for perturbing Calabi-Yau cones. Most of the complexity of the bulk geometry is filtered out by the warping and effective descriptions for models constructed in the warped regions can be explicitly obtained. We will demonstrate the application of our procedure by analyzing the potential for angular moduli of an anti-D3-brane sitting at the tip of a Klebanov-Strassler throat.