Either one of those drivers will work for driving ONE stepper motor. I like the one with jumpers better. (My personal preference.)
Most six wire steppers are unipolar (which can be wired up to run as bipolar). The driver boards you shown can be used to drive bipolar steppers.
In your case, you would just leave out the 'common' wire from each phase (or coil). Six wire unipolar steppers have 2 pairs of coils (four total).
Each pair of coils has 3 wires, one of which is a common wire shared by both coils in that 'phase'. The other two wires are the ones your looking for. Those two wires from each phase, get wired to your driver board.
With a digital multimeter, you can test for resistance between the wires. Look for 3(of6) wires that are connected. Place a band of tape around them so you can identify them as a phase. From those three wires, two of them should have a higher resistance. The remaining wire is the common wire for that phase. Tape it off, set it aside and use the other two higher resistance wires.
Then repeat the process with the other set of 3 wires. When done, you should end up with two bundles of three wires each. Between the two sets you should now have four wires to use; and two wires that have been insulated from immediate use.