Just one point, if it's a LiPo battery inside, the nominal voltage will be around 11.1v, not 12V. Straight off the charger, the voltage will quickly drop to 11.1v and stay there, then it will drop off rapidly at the end of it's capacity.

Probably doesn't make a difference, but I thought I'd mention it.

Hopefully the unit will have a low voltage cut off circuit to avoid over discharging (this quickly kills this type of battery).

Cheers,