I'm just playing my first campaign, and I'm starting to think about going after the homeworlds. It happens that I have them in very different places---I'm playing a 40-planet map, and I have a little clump of 8-10 planets I captured at the beginning, which has two only exits, and from one of them an every-other-planet chain going across the other half of the galaxy towards one of the cores. Unhappily, the choke planet for this one is right next to my homeworld. The other exit leads straight into the other core, which is in a dead end. So I'm wondering which one I should strike first? If go after the one near my clump, I assume it's going to be a lot harder for me to cross the galaxy to the other one----and harder for me to hold my waypoint-planets, and presumably I'm also going to have lots of nasty core ships going to threat and poring right into my hideout----but then I'm afraid that if I kill the distant one first, I'm going to be fighting a much tougher and higher-stakes battle on my own doorstep. My guess is the far one, especially as I have a lot more worlds buffering my home on the side with the close homeworld, but I'd be glad to hear anyone's thoughts on the situation. And then I'd appreciate any advice about killing homeworlds, too.
One more thing---am I right to think that when you kill one AI all of its ships become free? I have a semi-neutered AI world in amongst mine, and I wonder if I need to finish the job before killing its master?