Intuition means getting a feel for the component, so if you can get a strong feel for the basic stages, you will be able to solve bigger circuits intuitively. To get a feel, I suggest doing many parametric simulations on the basic circuits and look at the graphs. Like maybe how does gm vary with Vgs and why it varies so, maybe for changing Vds. Basic Id-Vds curves, Id vs Vgs curves, Capacitance variations with Width, etc. Do these for single MOS devices, then do simulations for basic stages and try to identify the regions in the MOS curves. they are operating. Slowly you will be able to do this in your head and then you will get a feel of how currents, voltages, transconductances of each of the devices is varying when the signal moves through a circuit, and what factors could possibly be influencing them.