#1- Dont pipe your dryer exhaust to the garage for heat!
#2- Rodents have been known to chew wiring and nest in the strangest places.
#3- Wives have been known to chew other things when you mess with their nests.
I would definitely make sure the garage is "Rodent Proof" . . . one mouse can cause $$$ in damage. I store my bike in my attached garage which is not heated (I live in Minnesota). I have a couple of those plug-in electronic devices that send out an ultrasonic soundwave that deters rodents. It works . . . I haven't had a mouse in the garage for 20 years. The ultrasonic soundwave is uncomfortable for the rodents and keeps them away. I put down those square foam pads that snap together so both bikes are not in direct contact with the cement floor. I use a wheel chock for my Ultra Limited so it sets upright and takes up less space.
Only thing I have to be careful about during the winter in a garage that is not heated . . . When I look at my bike in the middle of January and start crying because I can't ride it, those tears instantly freeze to the garage floor and can sometimes be slippery!