We have known since 1986 that binary black hole mergers are gravitational-wave standard sirens, allowing us to measure luminosity distances. Advanced LIGO and VIRGO are likely to make the first uses of this for measuring the Hubble constant, but LISA has the potential to turn this into a tool for measuring the dark-energy equation of state and possibly even its evolution. As we understand more and more about the signals from these systems our estimates of the accuracy of LISA's position measurements have improved dramatically, and with it the likelihood that we will be able to identify the host clusters of many of the mergers. The remaining challenge will be to control the distortions in apparent gravitational luminosity induced by weak lensing as the signals travel over cosmological distances to us. If this can be controlled, the potential returns for cosmology and fundamental physics are very exciting.