If it's going to stay outside, I would park it away from trees or anything that could potentially fall on it in the event of an ice storm or whatever, uncovered. I've seen cheap car covers just destroy paint from the wind whipping it around over time.

Either charge the battery full and put a tender on it or pull it completely and keep it in a cool dry place topped off.

Some people say to top off the fuel before storing it, saying if not moisture will form in the tank. I don't, I prefer to have the tank pretty much empty so I'm not stuck with 14 gallons of old stale gas in the spring and if it's a 2g awd, it's a plastic tank so no worries of moisture rusting it out. I've never had any issue in 10 years like this.