I often get email from people who are considering pursuing a college or conservatory degree in multiple woodwinds. Now that I’ve completed two of them myself, here are a few thoughts.
If you want to enter a multiple woodwinds degree program, you should already have at least a basic technical command of each instrument to be included on the degree. This really should include a background of good private instruction on each instrument. In my experience, self-taught players on any instrument are rarely very well prepared for the rigors of college-level study.
Bachelor’s-level programs are rare, and I think that’s with good reason. For most woodwind players, I think, diving right into college-level study of three or more instruments is ill-advised. You will do much better to spend those years focusing on your strongest instrument, developing your musicianship, learning good practicing techniques, and hopefully racking up some achievements like contest awards or high placement in top university ensembles. All of those things benefited me very much (my bachelor’s degree is in saxophone performance), and it’s likely I wouldn’t have been able to achieve as much if I had been dividing my practice hours between multiple instruments (plus completing music coursework AND general education coursework).