For the most part, temperature is the dominant factor in viscosity, not density. Unless you are also considering multi-component fluids, in which case the components of the fluid are the biggest factor.
At any rate, the typical rule of thumb is that for liquids, the viscosity decreases as temperature increases. For gases, the viscosity increases as temperature increases. This is true for both dynamic and kinematic viscosity.
Most models for viscosity don't even factor in density. One of the simpler models, Sutherland's Law is based solely on the temperature. Obviously density and temperature are related through the equation of state, but temperature is considered the primary driver.
If we drill down to the very smallest scales, the viscosity is based on the mean free path. This is because viscosity arises through differences in translational energy of the molecules in the fluid. The collisions between the molecules serve to bring the translational energy into equilibrium, and this transfer of energy is what we call viscous forces.
Finally, to answer your specific question: the density of ethanol is $789 kg/m^3$ and it's viscosity is $0.001095 Ns/m^2$. The density of water is $1000 kg/m^3$ and its viscosity is $0.00089 Ns/m^2$. So water is more dense, but less viscous than ethanol at the same temperature.