An apparatus includes a first guide and a second guide. The first guide includes an arcuate horizontal body portion. A rear surface of the horizontal body portion is configured to closely mate with a front-facing bone structure of an alveolar arch of a patient. The second guide includes a body and a coupling member. The body defines a passageway that is configured to receive a bone reducing instrument. The coupling member is configured to mate with the horizontal body portion of the first guide. The body and the coupling member are configured to position the passageway along a second horizontal plane that is parallel with the first horizontal plane. The coupling member is configured to enable the second guide to relative to the first guide along the second horizontal plane and thereby guide the bone reducing instrument along the second horizontal plane.