I have two of such cars. At the height of off-season, they can sit as long as a month between runs.
If it's not long term storage (6+ mos), leave the batteries in, and setup a Ctek tender with a wired in monitor quick plug. Pulling and reinstalling batteries is a lot of unnecessary work, and repeatedly reenergizing the electrical system is not good for some electronics. The battery is going to self-discharge whether it's in the vehicle or not, so just leave it in. The monitor plug will tell you at a glance how the battery is doing. If you can, leaving the vehicle completely unlocked will reduce the resting draw on cars with alarm systems.
All fresh fluids should go in before layup -- especially engine oil. If the area has a hint of mice, scatter dryer sheets about the engine and other compartments. A completely full tank of premium grade gas with stabilizer is also recommended (I typically add in a bottle of Techron for storage fills to keep the senders clean). Keep the tank full unless it is a very long haul storage layup, in which case you do the opposite, and completely drain the fuel system. Untreated gasoline loses on rough average around one octane point per month in storage.
As others have said, when they go out for exercise, it's no less than 25 miles, to get everything up to full temperature and circulation. Any less, and you run a higher risk of moisture and acids buildup in the crankcase. Exercise all the switches and systems, including the AC and heater, too.
Tires tend to temporarily flat spot when sitting short term, but will round back out after a couple miles as they warm up. Any longer than a month between runs, and you need to consider more proactive steps to protect the tires. If you decide to jack up the car, it should be rested on it's springs; leaving the suspension sitting unsprung puts excessive stress on bushings and boots and can take them out of their normal "set".
Obviously, if you can store inside, that is best. If you expect humidity swings, I like to throw in a couple desiccant bags to check mildew/mold (check boat supply stores, they are actually cheap), especially if the vehicle has cloth/canvas elements (convertibles).
But if outdoors, I do not recommend a car cover unless you live in a very dry climate. I would also install windshield and other window shades to reduce heat and UV wear on the interior. Throwing a sheet over the seats and dash also helps keep things clean. Take up rubber or vinyl mats to allow any trapped interior moisture to escape more easily. Also obviously, storing on other than a paved surface or sitting it under a tree is condemning the car.