Description of an experiment for achieving precision measurements of nuclear beta spectra. The goal is a search for chirality-flipping interactions as signature of physics beyond the standard model. In order to reach significant improvements in sensitivity we are aiming at spectral measurements with precision better than 10^{-3}. We are using the Cyclotron Radiation Electron Spectroscopy (CRES) technique. This is based on determining the beta energy by measuring the cyclotron frequency of betas in a magnetic field. Since both frequencies and magnetic fields can be measured accurately the method is promissing. Presentation of a recent demonstration of detection of betas from 6He and 19Ne and show that the combination gives good sensitivity for searches for chirality-flipping interactions while cancelling some systematic uncertainties. Discuss of the future outlook.