I'd go with the storage unit and take the battery out and put it on a charger.
First winter for me but going this route(except in garage so not taking out battery). Spoke with the dealership service manager about just starting it once a month or so etc. to move fluids around and he suggested no because you'd get more damage from condensation in the muffler due to not hitting operating temps. Said if I want to go for a ride that's great but just not starting it for 5-10 minutes.
- Fill tank full and add some sort of fuel stabilizer. It can rust on the inside and ethanol in the fuel attracts water. Fill it to the brim and problem basically solved.
- Put a battery charger on(suggested and purchased optimate from them)
- Cover it with something soft (dedicated cover or old sheet) to keep the dust out
- Can cover up muffler opening but suggested to always check on the bike weekly if you are worried about mice making homes etc.. His quote: "Seats are expensive if they set up house there. It's not like they are going to chew through your muffler..."
- Others have suggested using pads etc. between the tires and concrete. I got some rubber rear seat floor mats for that.
- Be nice if it was washed before storage but too cold for that here now.
- Service manager said if you are close on oil change interval to do it in the spring rather than fall in case moisture gets in there. Of course he didn't say what to do if you were between intervals
Many people change in spring regardless of mileage and if you do it yourself that's probably cheap insurance...
All in all, if it makes sense then it probably will help and shouldn't hurt. None of this costs much or takes too much time.
In spring I'd suggest adding fuel sooner than normal like at 3/4's full. That way you get some fresh fuel in there to mix with the old fuel. Do this 3-4 times and then fill up as usual.
Took a ride today and coming home it was just over 40. Sadly I'm probably going to have to say goodbye to my lady in a week unless we get Indian Summer. Think spring and safe riding.