For TEC my build order usually is
- 1 scout and Colonize frigate
- Marza or Sova Cap Ship
- 1 Civ lab and extractors (crystal 1st)
- Couple light frigates
Buy the time your cap ship is built you should have the 3 closest planets explored. Try to get the asteroid 1st. While your new fleet is engaging, build the second civ lab and research ice or volcanic colonization.
I try to upgrade the planet "Civilian Infrastructure ASAP.
I might only have 5 light frigates by the time I have military labs and start building LRMs. As soon as my 3rd military lab is done I go for carriers.