This begins as a commando mission, and is rather exciting. To start, head to the northwest using attack-move and kill all the infantry. Save barrels for when APCs and other vehicles are near them, as the commando is weak to that type of vehicle. When you've cleared the area, transports will bring you a pair of rocket squads. Keep them parked, and watch for incoming patrols. Use those barrels and crates wisely! Go back and forth a bit with your commando, clearing further each time as the enemy sends troops. Hit the power plants on the north side, then make your way west and destroy more turrets.
Start keeping your forces together, as it is getting easier at this point. Make your way west, grabbing all the barrels and finishing the anti-air turrets off. When you get to the cargo vehicle, kill the engineers and protect it, slowly (very slowly) moving northeast with all your military to the Nod base.
Clear everything inside and you will be given control. A new secondary objective is added, 'build and maintain three obelisks of light'. It is highly recommended that you do so, as their huge range, when clustered in 3 in the northwestern corner of your base, can cover nearly the entire thing. When you first get control though, to fund this project, build two additional harvesters. You will also want to build black hand for later (and to help defend). You must survive the countdown until the avatars arrive. Building one large army guarded by three obelisks and moving the army to respond to changing situations will help greatly in this. Above all, keep your buildings repaired as the additional costs of rebuilding them are nasty.
When the avatars finally arrive, build a couple at your war factory. Satisfy the mission objective to upgrade one by using its special ability on one of your flame tanks. Train more black hand and possibly rocket squads from your barracks while the avatars train. The larger an army you can build up at this stage, the better. You may as well abandon the base when you're out of tiberium and the last objective is to escort something, eh?
Move cautiously north. Try to keep your avatars in front, and the cargo in the rear (make sure you aren't followed). At a point, the cargo truck can make a run for it, but it must stay on the left side of the road after you draw the attention of juggernauts that will pound you from the east. Try to take them out and sneak the truck up the road quickly.