In rural areas without curbside drainage or sewer systems, a dry well is a practical option for French drain systems. It collects and slowly disperses water deep into the ground, absorbing it into the soil rather than having it pool near your home.
If you plan on draining the runoff water into a dry well, pick a spot in line with the trench you're digging, at least 10 feet away and downhill from the house. Dig a hole 2-4 feet wide and about 3 feet deep to allow excess water to drain into the ground rather than pooling on the surface.
You can also divert the runoff water to a road curbside, retention pond, or tap into existing drainage systems. Make sure to avoid buried cables or utility lines. If you suspect any issues underground, call local authorities and have them flag problem locations with flagging tape.