I'll tell you what I do and what I'd do the same if I was storing it outside.
-fill the gas tank full to the brim
-make sure oils and antifreeze and stuff are topped up
-pump tires a little more than usual (3 bar)
-lubricate rubber seals and wipers with glycerine before you store it
Now, since you've got a cover, I'd try to make sure the cover is really good against rain or moisture, since it can have an adverse effect if it traps moisture below, on the car.
Regarding running the car, I was diligently running it every month for 15 minutes, but last month I forgot and my battery drained, however with a jumpstart it was back to normal and this whole season works no problem. Though again, it was garage stored. You might wanna take out the battery since winter temperatures might kill the battery altogether.
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