I normally play Gigantic / Neutral / Masochistic or Obscene / Abundent all / very fast tech / Terran Civ
I find constructors are my most valuable ship. Relatively cheap and quick to build, they enable large increases in the various resource catagories. Good use of Construtors on the Galactic resources and local economic starbases will double/triple your output in many catagories, sometimes even more than that. Adding modules to the Galactic and local economic starbases could be said to be a no brainer, the benefits are impressive. To throw away 37% increases in research/economy/influence etc across every Planet in your empire by not using fully developed Galactic resources, is almost criminal
I will always in addition to building the modules on Resources/econ starbases, have a few lurking around other Civs Wars, as soon as one side zaps a Galactic resource starbase, I'm there next turn and its mine - a nice juicy freebie. For the later keep an eye on the GNN popups as to who is fighting who and when so you can move your constructors there. I find usually by thinking ahead I can give them the range to get to the war at short notice, if not I will slam in an influence starbase to extend their range and get them there.
I dont use military starbases a lot, as I find if I strike early, the AI is forced on the defensive, and rarely if ever attacks, leaving me free to concentrate on offensive capability/plans. Therefore for me military starbases in defence are not useful. A mini fleet of constructors going in with the attack force, to build a military starbase with multiple modules, against a particularly hard target can be useful, Other wise I dont use them.
The use of Military starbases are really as a result of individual play style. Galatic and Economic Resources/starbases are universaly benefitial, no matter the play style, and should be developed asap in the game, the benefits later are immense.
Influence starbases I only use to extend the range of my recce/survey ships and fleets, as I dont play for a cultural win. The Galactic resources I find are useful to build up the modules on them increasing the influence in general as it tends to force the AI to build more happy buildings, they do that, and they are not building productive buildings. That one is not a huge factor, but every little helps.
Regards
Zy