Neutralinos arise as natural cold dark matter candidates in many supersymmetric extensions of the Standard Model of particle physics. If Galactic neutralinos exist, they could in principle be detected by both direct and indirect detection techniques. We use the DarkSUSY package to make very accurate calculations of the expected detection rates for a wide scan of parameter values. We compare the calculations with the sensitivity of current and future detectors, and conclude that some of the models are above the sensitivity limits. Comments are also made on the mutual dependence between the halo profile and the detection rates.