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Only start it up if you are prepared to ride 20 miles or so to get the engine up to 60C otherwise don't bother.
As I understand it, modern lead acid batteries do best when they're electrically pulsed now and then to forestall sulfation. I put a 2 amp charge on each battery for a few hours once a month over the winter and that seems to work well. You could probably do the same thing with a trickle charger on a timer to pop on for an hour a day. If anyone can offer a better-informed solution I'm open to be educated.