You start out with 8 Marines and Raynor. Move south for a while until you find Kerrigan. Then, look over the area she scouted. You will find 3 Missile Turrets between you and the Antigan base. Move Raynor alone toward them and attack with the others after you get rid of the Marine guarding the turrets. After you destroy the turrets, send Raynor alone ahead until you meet an enemy Vulture. Kill it with Raynor, then move Kerrigan ahead alone. Watch for a Wraith and use Lockdown on it, then move your Marines in to destroy it.
After the Wraith is down, pack your forces tightly and prepare for some real action. Move your forces near the first enemy Bunker near the northeast corner of the map and attack the Missile Turret next to it. Ignore the Bunker and stay out of range of a Firebat inside it. After the Turret is gone, pull back and highlight Kerrigan. Cloak her, and move her up to the Antigan Command Center, ignoring the enemy Terrans. After you take the base, a firefight will result, and just watch the enemy die. After the firing dies down, move your forces into the base, repair the Bunkers and Raynor, and begin your operation. Have 8 SCVs gathering minerals, 5 gathering Vespene, and 3 building and repairing. Build a bunker and Turret at the west exit of your base, near your Starport, as the enemy will attack there. Also build some Bunkers and Turrets around the Barracks you have near the enemy base toward the southeast corner of the map, as suicide teams sometimes decide to attack there.
Begin upgrading and preparing an attack force of at least 12 Wraiths, 3 Dropships, 4 Vultures, 8 Marines, and 8 Firebats, all with every possible upgrade. Make sure you have a Comsat Station and that you don't send in Kerrigan or Raynor to attack. 
Load each type of ground unit in a different Dropship, and move the Dropships and Wraiths to your southernmost Bunkers and wait. When your Wraiths all have 250 energy, cloak them and move them toward the enemy Refinery at the southeast corner of the map. Target the enemy Wraiths one by one and destroy them before they can run. When the Wraiths are down, move your Wraiths over the bridge in front of the enemy Refinery and tell them to hold position. Wait there and keep firing on confused enemy units until your Wraiths' energy is down to 75. Then, move in all your Dropships and unload your ground units right over the Refinery. When your Wraiths run out of energy, pull them back and prepare to move in. Comsat ahead of your forces to scan for mines and take them out with Marines. Take caution, as 1 mine can take out up to 6 Marines.
Slowly advance through the enemy base, destroying everything you see. Make sure that your Wraiths don't wander off and attack Turrets, as they would stand no chance. Continue through until you wipe out the entire enemy base.
