Flexible palm disc sander: Are there any other names

One thing I love about the DeWalt batteries is that they maintained compatibility across a wide range of battery/charger combinations. I standardized my own collection on them after my last set of power tools died and replacement batteries weren't available.

As for your challenge, many of these chargers should be wall mountable. We've got a piece of OSB on the site with a dozen chargers and a couple of power strips all mounted which is mounted on the wall above a workbench. When we didn't have the trailer hooked up to power, the OSB was unscrewed from the wall and the entire charging station moved indoors. The nice thing about the power strips is that a flip of the switch turns off all the transformers that leach power even when they aren't charging anything.

In a workshop itself, a ceiling mounted extension cord is handy for powering various tools. And they also have extra long (6 foot long) power strips that have outlets spaced apart that would be perfect for mounting on the wall behind the workbench.

An advantage of the disk over the belt is that you can control how aggressive the sanding is by moving the point of contact between the edge of the disk (where the speed is highest) and the middle (where it is lowest). The downside of the disk sander (pun intended) is you can only safely use the half of the disk that is pushing the work down onto the table. This means the disk works well for fairing convex curves. (If you need to sand concave shapes, you need yet another machine, a spindle sander.)

For smoothing long edges, the belt sander is better since you can work the full width of the belt. It would depend on the machine, but generally belts should be easier to change than adhesive disks.

Finally, by having the dual purpose machine you can set up both a coarse grit on the disk sander, and a finer grit on the belt sander to avoid having to change belts on a belt-only sander.