The cost of hydrogen bombs and atomic bombs isn't really expensive; the primary expenses for nuclear-armed countries actually lie in the development stage and annual maintenance. If you just produce a batch and immediately use them on the Moon, the actual cost is less than one might imagine.
Moreover, according to simulations by the base's supercomputer, the larger the yield of the nuclear bombs used, the more beneficial it is for future mining, which can continue to reduce subsequent costs.
The overpressure from a ten-megaton hydrogen bomb explosion can eject all rocks and Moon soil and, due to the Moon's low gravity, scatter them widely. The resulting crater will have an unimaginably smooth parabolic surface, with the shock wave-compacted walls eliminating concerns about collapses.