Batteries will eventually die with usage or in storage. Rechargeable batteries must be charge up to full charge every 1-3 months in storage (charge holding pending chemical make up of batteries) or they will drop below the thresh hold of no return (around 0.9 volt).
I would go for a cheap Dewalt corded drill, however any corded drill will out perform the very best of cordless drills.
Lithium Ions drills or impact is the way to go because it is lighter and offer twice the Ah of NiMH/NiCad . Impact driver offer 2X-4X the torque of drills, drive screws faster, and drive more than 2X the amount of screws than drills per charge.
That said,
Bosch 10.8 Volt Litheon Impactor is the best of the screw driver breed, because it is very small & at least 1/2 of the weight of a drill and deliver 2X the torque of a 18 Volt drill. Weight in at 2.2 lbs.
The runner up are the versatility Makita 14.4 Volt and 18 Volt Hybrid Impact-Hammer-Driver-Drill weighing in at 3.8 lbs for the 14.4 & 4 lbs for the 18 Volt version, that deliver 1200 in/lbs & 1236 in/lb respectively.
IMHO, any cheap impact screw driver will do just fine for the occasional usage for home owner, and Bosch/Dewalt/Makita/Milwaukee for pro or a person that like to have quality tools.
<-- Drive several thousands of screws per week & currently own a 14.4 Volt Makita impact drier, and waiting for the 10.8V Bosch impact driver to come to Canada.
[add] forgot to mention Panasonic for pro use.