Dig holes for the trellis posts in a row 1 foot behind your planting row. Dig end brace holes 4 feet deep and middle post holes 2 feet deep. Space your holes at 10 to 20 feet for best trellis stability.
Place the poles in the holes to build the bones of your trellis system. Secure middle poles by filling the holes with dirt. Mix concrete in a bucket, per manufacturer directions, to secure the end brace poles. These poles support the most pressure, and need the greatest stability. Allow the concrete to set overnight.
Wind 9- to 11-gauge wire around the first pole, 2 to 3 inches from the top, and run it to the second pole in the trellis system. Keep the wire taut and firm, but don't pull against the previous pole, as this could damage the system. Wind the wire once around this pole, 2 to 3 inches from the top, and move to the next pole in line. Continue this process until you come to the last pole. Tie off the wire there and clip the end.
Repeat this process to build second and third tiers below the first. Build each tier 1 to 2 feet below the one above it, and keep the bottom tier at least 1 foot off the ground. Repeat the process with every row of trellis.
Tie grapevines to the posts and wires when they get tall enough. Use soft felt or cord ties to secure the main canes, to encourage straight growth. Tie canes along the wire tiers in both directions for training, and to give foliage and fruit better sun and air.