The possibility of doing precision measurements at hadron colliders has attracted lots of interest over the last few years. Among other processes, diboson production stands out as a way to probe EW and Higgs dynamics and indirectly constrain New Physics. This kind of process is already studied at LHC, despite being handicapped by the need for decay channels with high uncertainties. The higher luminosity and centre-of-mass energy of the future FCC-hh collider would allow us to probe these processes with rarer but cleaner final states that are inaccessible at the LHC. I will focus on the diphoton leptonic decay channels of the Wh and Zh production processes. I will discuss our study of these channels at the FCC-hh in the SMEFT framework and how doubly differential distributions can be used to gain even better sensitivity to certain higher-dimensional EFT operators. I will also compare our projections with those for future lepton colliders to emphasize their complementarity. Finally, I'll show some preliminary results using the bottom-pair decay channel of the Higgs boson at LHC, HL-LHC and FCC-hh.