This is the Sonicare "Advance" model charger.
Other chargers will work, but many do not open with screws, they instead are welded or glued shut and must be shattered to get open.
I use the Advance charger for my toothbrush and to charge my watches.
This model has 2 very simple screws.
And the inside is arranged such that a watch fits logically over the flux.
Photo 2 shows the bottom of the charger.
Photo 3 shows the same charger with the screws removed and the bottom plate removed.
In every model of charger there should be a rectangular section and a circular section.
The circular section holds the electromagnetic flux generator. That is what will generate the power to charge your watch.
In most Seiko Kinetics the Generating Coils lays beneath the 8 o'clock marker on the watch.
You would like to have that 8 o'clock marker pointed toward the 9 o'clock spot on the Circle.
(See Photo 5)
On other chargers and with other watches simply rotate the watch around stopping ever 10 degrees or so for 10-15 seconds, until the watch starts to tick in 2 or 1 second intervals.
It may take several days to charge your Kinetic if it was fully discharged.
I hope this is helpful