This manuscript is prepared to deal with the comparative fluid flow and thermal transportation aspects of Casson Hybrid Nanofluid and Williamson Hybrid Nanofluid dispersed in the mixture of water and 30% C2H6O2 over an exponentially stretching cylinder. The suction effect, MHD effect, and the impact of variable thermal conductivity are also incorporated into the concurrent flow model. The spherical-shaped Ag and MoS2 are used as nanoparticles. It has been established that the shear stress rate and Nusselt number are lesser for Williamson hybrid nanofluid as compared to hybrid nanofluid, but the opposite is the trend for Casson Hybrid Nanofluid. Also, the skin friction coefficient is very high in Casson Hybrid Nanofluid in comparison to Williamson Hybrid Nanofluid. In addition to this, the thermal transfer rate is found to be enhanced by up to more than 4% in Casson Hybrid Nanofluid as compared to Williamson Hybrid Nanofluid for all the parameters.