I never had a problem leaving a battery over night in the cold, I suppose if the battery is getting on in its life an overnight trickle charge will help. I use a motobatt Absorbed Glass Mat battery, I think its the best battery I have come across, you shouldnt have any problems in the cold weather they seem to tolerate a lot of abuse, mine is 5 years old and sits in the house for 6 months I dont even bother to trickle charge it, its always fine when I come to start my bike