I totally agree with going with a very reputable guide service. The problem with alpine clubs in the US (as opposed to Eastern Europe) is ( ok, this is blasphemy) is most of the clubs spend too much time teaching new comers and not enough time really climbing so many of the teachers I would say are beginners when you compare them to the typical "live out of a truck" climbing guide. You want to learn who has both knowledge and experience.
It's not only
1) snow and ice travel
2) glacier travel
3) rock travel
but it's realistic risk assessment, outlook and attitude.