I would go with led lanterns and rechargeable AA batteries. All of my battery powered devices (except my tablet) use AA batteries. I have a solar panel that will recharge my AA battery packs, and these can output a 5V USB voltage, 6V, or 12V to power my 180W cup inverter.
I use 3rd Gen Sanyo Enloop 2000 mAh AA batteries that can be recharged 1800 times, so my lighting needs are covered for 5-7 years or more.
Amazon: 3rd Gen Sanyo Enloop AA Batteries
I use 3rd Gen Sanyo Enloop 2000 mAh AA batteries that can be recharged 1800 times, so my lighting needs are covered for 5-7 years or more.
Amazon: 3rd Gen Sanyo Enloop AA Batteries