Follow your owners manual. For my 115 OMC 2stroke, I have to use the propper fogging storage oil. My 15 hp four stroke says to pull the fuel line off and run it dry or use fuel conditioner. If your 2 stroke is oil injected, like my VRO, you can't run it out of fuel because it just dumps pure oil in and fouls the plugs and cylinder. Definately change the leg oil and check for moisture in there. If that freezes you're really hooped.
I use my motors all winter long, so I don't worry too much. It helps to have a good water/fuel seperator as well.