Genioplasty is preferable if possible as it does not require orthodontics (braces to move your teeth for around 18 months or more) to set up your bite as BSSO does because BSSO moves the teeth bearing bone of your jaws.Genioplasty moves the bone of the chin below the lower teeth so there is no need for orthodontics.Genioplasty would likely achieve close to your desired chin position but you would be best to be assessed with a cephalogram (X-ray to look at your facial skeletal dimensions) and to look at your occlusion (way that your teeth come together). This may identify a dental or skeletal reason for moving your jaws with a BSSO.In assessing your overall facial proportions it may be worth looking to reduce the projection of your nose as an over projected nose can also exacerbate the appearance of a recessive chin. Reducing this will help to therefore balance your overall facial proportions.