JBF, I recommend using the pullers that "press in the axle" using the threaded rod and the flange that goes over the hub and secures with wheel bolts.
However, the "deep flange" you pictured won't fit over our hubs, I know because the kit I rented had both flanges in it. The "deep flange" is just a hair narrow to line up all 3 bolts.
you need this one: