In my talk, I want to highlight the unique potential of integral-field spectroscopy in the study of Galactic globular clusters. While traditional spectroscopy has revealed many intriguing details about their nature, such as the existence of multiple populations, it is limited to observations of the relatively few isolated stars in a cluster. I will show how the combination of integral field spectroscopy and deblending techniques known from crowded field photometry can overcome this limitation and significantly increase the number of spectroscopically accessible stars. A science case that particularly benefits from this improvement is the search for intermediate mass black holes (IMBHs). The existence of these objects is still a matter of significant debate, in large parts because of the observational challenges involved. Velocities for many stars in the highly crowded cluster centres must be measured to constrain the presence of an IMBH. I will summarize our previous efforts to search for these objects and also highlight the role MUSE will play in this field in the future. This new spectrograph allows us to obtain samples of up to 10000 stars per cluster in less than an hour of telescope time. Thanks to the unprecedented sample sizes, it also enables us to pursue a range of other science cases, ranging from the distribution of binary periods in the clusters to the study of stellar populations.