I store my Z for at least 4-5 months at a time. I fill the gas tank and use SeaFoam or Stabil before filling up.
I also change the oil and make sure everything is lubed and not leaking.
I suggest you either get a battery tender or take out the battery completely and store it in a dry spot.
As for the tires, I either have the car jacked up with the wheels off or I use wheel dollies. I think people use carpet squares to prevent flat spotting. Definitely fill up the tires up to 40psi or so.
If you're worried about mice, use drier sheets in your engine bay or on your wheels.