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May I suggest a bicycle?
For that little mileage the battery will never charge. You need at least 20-30 miles in one go regularly to keep a battery totally healthy. Modern cars to suck power while parked so they just slowly discharge.
I believe there are batteries that can handle full discharge and charge cycles better but they will be double the cost.
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Yeah, we have bikes but have a fairly intricate / tightly timed commute / school drop off that we couldn't do in bikes and work clothes.
Appreciate the short journeys are sub optimal but the car isn't worth selling to replace with a new one (EV or otherwise), although I've not checked the cost of second hand ones recently.
I'll pick up a new battery and charger over the weekend. My luck it won't actually be that at all and will be something more catastrophic!
Very little: generally 1-2 miles daily to the station and rarely trips above 10 miles.