Keep progressing-4 ship lead (fighter types)/AC, IP, EP, safety school, etc. The best advice I got was to never step on anyone's toes, keep flying and avoid staff tours like the plague. Be nice to guard/reserve guys, especially if they are your students and as always, network.
With regards to single engine/tactical jet/multi engine military time, the airlines don't care as long as you have the hours. T-6, T-38, and T-1 hours are all very good from what I've seen.