I present an overview of our results from the MAGNUM survey (Measuring Active Galactic Nuclei Under MUSE Microscope), which aims at studying in detail the properties of AGN, including their interaction with the host galaxy (e.g., tentative evidence of “positive feedback”), and the ISM gas properties, both in the ionised gas with VLT/MUSE and in the molecular gas with ALMA. Nearby galaxies are the ideal laboratories for such a detailed analysis, thanks to the spatial information offered by their vicinity (the average spatial resolution is ~50 pc). Data have been obtained for ten local galaxies so far, including the famous NGC 1068, Circinus and NGC 4945. Thanks to its unique combination of large field of view (1’x1’) and spectral coverage (4800−9300 Å), MUSE has allowed us to probe the kinematical and spatial structure of the kpc-scale AGN-driven outflows, to construct spatially resolved BPT diagrams to spatially disentangle the main ionisation mechanism and constrain the physical properties of the ISM (reddening, density, temperature, ionisation potential, shock excitation etc). The intrinsic outflow 3D shape and the physical properties of the gas can then be analysed in details through kinematical and photoionisation models.