Solubility of methanol and ethanol in water
For primary alcohols, the trend is the longer the chain, the less soluble.  

However, at room temperature, methanol, ethanol and propanol are all completely miscible with water. 

At lower temperature, below the freezing point of water, there is finite solubility.  

See the phase diagram that is Fig. 1 in CRYSTAL GROWTH OF WATER ETHANOL MIXTURE and that in Fig. 1 of Solid-Liquid Phase Diagram of the System Methanol-Water

Which alcohol would you choose for windshield deicing solution?