My cars hibernate in the winter and I don't do anything special other than the items I noted above.
If you store more than a month flatstoppers are recommended unless you're going to turn the tires 1/3 at a time. I do that sometimes too. Just lift the car, turn by hand, set it back down. Takes no more than a few min if you have a hydraulic jack and just saved your $1200 tire set.
Good luck.