To be honest, it was a long time ago when I started this GC, I just never had the time to finish it.
So in the beggining, you start at Nirauan, with the NR right in your doorstep, but the Nirauan archives give you a HUGE advantage.
Attacking them this early is a bad idea, since they outgun you at the moment, so start building Mining Facilities and a Decimator instead. When it is ready take Kariek. Since Kariek doesn't have much of an income, build up a light vehicle factory there and relocate your baracks from nirauan to here, getting an extra slot for mines. Take quethold too and build up mines there, just like Nirauan. If Ilum is in NR hands then their fleet mush have been at least a bit weakened at the moment, so it might be a good idea to strike, but this is mostly about luck.
Try to take Ilum, no matter if it is in NR hands or still warlord. After that if you see Adumar's defenses to be low then You would do best to take the planet.
In the meantime make sure to build ships at Nirauan and Quethold. Take Crustai and Oristrom, and if you feel strong enough take Syca too.
Build there Mining facilities and the Syca Fleet Systems Corporation, and concentrate your fleet to Adumar. Nirauan is so close, that even if an attack comes in, your fleet would be there much faster than the enemy.
Take Wistril, Ord Mantell and the Garqi. then turn back to take Morishim then Borosk. After you have those, take Comkin V, Selaggis IV and Dathomir.
This could be done under 50 weeks, even if you take your time.
It is VERY important to build up Ord Mantell to be a mining planet. Nothing, just mines.
You can build up your fleet from 2 shipyards after this, and have more than enough time and credit to fuel your war machine.
From that point it is easy to take the "remnant planets" and from then on nothing can stand in your way.