And the big problem with German cities, as with all the barbarian factions, is you want to get to those next higher admin thresholds fast so you can recruit your best troops, especially the archers.
That's where the 'growth' temples come in handy. I always had an aversion to these because of the negative traits/ancillaries they often bestow. But since most barbarian factions don't get family members with a pile of management skills, one can safely use them to advantage. I also don't have any problem with switching temples once the original one I built has served its' purpose. Some folks just hate to destroy infrastructure they've already paid for, but for me it's all about achieving the desired affect. Small temples are rebuilt rather quickly anyways, but I will even tear down an awesome temple when its' use is done. I also always destroyed the taverns when I captured a city with one to stay away from the 'drinking' traits, but since I rarely use governors for barbarians, the tavern can be just that last piece of the management puzzle that gets me to ZPG.