So, if you were able to park at work, that would still only be 6 miles out, 6 miles back, per day, which would be about 25 minutes' driving, at 30mph. If it was stop-start town driving, or all driven at quite low revs then not even all that 25 minutes would be actively recharging the battery.
Taking an excursion at the weekends, 10 miles or more, on faster roads might be enough of a charge-up to get it through the week but, as I said, there's the expense of fuel in that. If you enjoy driving for driving's sake then I know you'll prefer this to the trickle-charger option. ;-)
Lastly, the nipper rules out the taxi option - if you want your choice of child seat, you need to keep your car.