My strategy evolved with entrenchment. Before, i was keeping one defense fleet but now, defenses have became so powerful that i can engage a medium fleet with turrets and hangars and a full fleet with a medium upgraded starbase and a few turrets.I only do it on a few chokepoints (2 generally) to avoid screwing my economy.
So i can concentrate my forces : if i don't, my ships don't have enough firepower to take down a starbase defended by a fleet (particulary Vasari) if it has its hull points upgraded (when you attack the enemy territory, he often has a starbase in his borderline, unless you attack very early)
As i play almost only advent, it works quite well as an advent fleet with some good caps and support ship can handle a twice bigger fleet. So it's no big deal if i spend some credits into defense.
By the way, advent defenses are freaking powerful. Turrets with shield and a 50% damage bonus are hard to crash even for orgov cruisers !
If you don't have entrenchment, an other strategy are hit and run attacks with two fleets that defend the two flanks of your empire. You scout and once you have discovered an unprotected system, you attack. As they are smaller than a main fleet, you retreat everytime you are taking heavy damages to a planet with a few repair bay and then, back to war . you do it two or three times in a row and the enemy would lose tipically his caps and his long range fregates. The only thing that would remain are carriers and a few fregates.
One last thing, in defense advent carriers, a cap and some iconus gardians using repulsion supported by two hangar bays rule !
An advent fanatic !