Compared to Arsenal and Barcelona, I prefer Bayern Munich because even though they don't have an experienced coach, their mentality and experience have been tested enough. Leverkusen is not at that level because they are not a seeded team even though they played quite consistently last season. The Champions League is different and there are many clubs that might be favored but ultimately fail to advance to the next round.
Next season will also be very different in the Champions League because it is possible that your favorite team will not be able to advance to a fairly crucial round next season, although Bayern Munich players still have a better mentality when playing in the Champions League. But as long as there is Real Madrid and also several teams whose strengths can be quite balanced, it will always be more difficult to place a certain team to become champions and also to be able to advance to more rounds in the Champions League next season.
Actually it depends on performance because after all even though it is a big club but in the end there is no guarantee for the Champions League even though the probability is very large for big clubs but still there is no guarantee in the Champions League because it all depends on performance.
Next season is also the same because even though the current Champions League scheme is different from before but when talking about capacity before the knock out phase, Bayern can still qualify from the group phase.
Actually for now I think we underestimate Kompany too much just because Kompany is considered an inadequate coach but on the other hand even though we still haven't seen how he plays at Bayern but many of us have judged him a failure even though he hasn't shown any performance at this time.