Discharge at grade, or creating a dry well as posted are your options. Doing it yourself is a function of your soil condition, and how energetic a digger you are. Me? I'd call the underground utility marking service, rent a Ditch Witch for a half day, slot the soil about 12-18" deep, verifying a slope of ~1/8"/foot, stuff in the corrugated plastic line, backfill with a rake, seed and straw the excavation, and call it a day.
