Over the past 6 years, we have been engaged in an extensive program of multiwavelength observations of transient galactic X-ray binary systems. Dynamical mass measurements show that many of these systems contain compact objects with masses greater than the upper limit for neutron stars - these systems are sometimes referred to as "Dynamically Confirmed Black Hole Candidates" or as "microquasars". Detailed study of accretion flows onto microquasars holds the promise of identifying and studying strong-field relativistic effects. These effects are easier to study in microquasars than in quasars and AGN, since the former have larger fluxes and more accessible variability timescales. I will present X-ray data from the Rossi X-ray Timing Explorer along with optical and infrared data from our ground-based monitoring program, and show how such multiwavelength studies have revealed new phenomena and constraints in these relativistic accretion flows.