I have a deep sink that can hold 15 - 20 at a time. After soaking in some b-brite, I rinse with a bottle washer, then dry on a bottle tree. That's assuming the bottles are already clean, that just the sanitizing phase. The cleaning is the same way, but just scrubbing, rinsing and drying.
Not Qt. Beer bottles, but they should work just fine. I'm about to use regular beer bottles to bottle wine because I can't get 187ml wine bottles cheap enough.