The key thing with snow blower storage has to do with the fuel. Almost all fuel now contains ethanol and ethanol is a killer on small engines. In this video, Handyguys Brian and Paul provide steps for storage of your snow blower. Follow these and you will be good to go next winter.
The BEST option, run the tank dry. Start the snow blower and just let it idle until it stalls. If you have a lot of fuel you will want to drain as much as possible first.
Option 2 for snow blower storage
The second best option, use a fuel stabilizer, start the snow blower then turn off the full shutoff valve and let it run until it stalls.
Option 3 for snow blower storage
The least desirable option (aside from doing nothing) would be to just use a fuel stabilizer and then cross your fingers until next winter.
Check your owners manual or with the manufacturer to see what they recommend for storage and always use a fuel stabilizer.