I figured wireless batteries were coming when I put them in Starcrossed, but the FCC just approved charging tech with a 3-foot (1-meter) range. So, it may not be the 24th Century before we get actual wireless batteries.
As the tech improves, I expect there will be an offloading of power storage out of devices and into belt packs then embedded in clothing and possibly left in the vehicle. This will make devices leaner, sleeker, and more powerful.
The inherent problems will be securing the power provided to prevent other people from stealing it AND making sure that we’re not damaging the humans (and other technology) in the process of beaming the power.
Fortunately for Starcrossed adventurers, these problems are already solved in the 24th Century!