The cold-neutron triple-axis spectrometer RITA-I at Rise has been operational for about three years, and in the near future an improved version, RITA-2 will replace the existing triple-axis instrument TAS7. We review the performance of RITA-1 and the operation modes of its flexible secondary spectrometer, giving examples of a few key experiments, and describe the software developed for running it. Further, the design of the new RITA-2 instrument is presented. The two RITA spectrometers are compared with their sister instrument SPINS at NIST and with similar instruments planned elsewhere.