In our 7 BBl set up we have two fermenters and four brite/serving tanks.
In terms of fermenter time, our batches take about the same amount of time in primary that yours do. I like for them to have 3 weeks in the fermenter at a minimum and I find that the beers greatly benefit from that. Prior to me coming on the brewer would do ten days with one day of bulk maturation then knock out. I talked with a friend that works at a much larger brewery and asked if the idea of letting the beer stay in the tank for 21 days minimum was a bad idea, mainly for a sanity check. He filled me in on their times and said they used to go 28 days in the fermenter before transferring to the brites. Now they are doing 21 days and haven't seen any difference in quality. Good to know that I was on the right track there.
Brite tanks are where the brite, finished beer is stored and are used for a few reasons. They are tanks where the beer is held after fermentation is complete. Finings can be added during transfer, which is what we do, or the beer can be filtered on it's way to the tank. The beer is carbonated in the tank and is allowed to rest for a few days. From there the beer can be either kegged off or hooked up t o a tapping system to serve beer directly from the tank.
Hope this hepled answer your questions. Hopefully others will post that may fill in some gaps I may have left, I blame the lack of coffee at the moment for that. If you have any other questions just ask, I'm willing to help where I can.