Now... let's hash out our colonization plans.
I feel that a two-pronged effort would be sensible. On the one hand, we should colonize towards the Bugs, in order to occupy some of those solar systems before our "allies" preempt them. Since the adjacent Luyten 726-8 system has no habitable planets, the next-closest Lacaille 8760 system is a good place to start.
It has two habitable planets, both with unbreatheably thin Oxygen-Nitrogen atmospheres, one rather too warm for comfort, and the other too cold. Both are good terraforming candidates at our tech level.
One of them contains some minor traces of Alien ruins! So I suggest that we set up an archeological site on that planet (Lacaille 8760 A-II) and colonize the other (A-III). The colony can also serve as an advanced scouting base, and when the Alien ruins have been fully exploited, a second colony can be set up on A-II.
While this is going on, a second colonization effort should be made in the opposite direction... towards the Hippies. That project will need to wait until a jump gate is completed in that direction, of course.