The last couple posts have good info (although a BM isn’t exclusive to a conservatory). One other factor is that subjects like music theory and history have a very specific track and you might be behind if you change majors in the spring. Not that it can’t be done, but discuss the implications with your school.
As mentioned above, you also need to decide between whether you want to teach in a school setting or privately. School requires music ed in most cases, but a performance degree is fine for teaching private lessons.
You also need to talk with your parents. You need to do what you want with your life. I’m sure they want the best for you, but it sounds like they are in the group that thinks money is most important. But that typically isn’t the primary driver for people who are artistically inclined. You will need their support in whatever you do, but you might want to get them on the same page with you.
Regarding jobs, people are mistaken when they think that business/science majors are more likely to get jobs than artistic majors. Studies tend to show otherwise. It is more about the person, skills, experience, etc., regardless of degree.
And for the record I speak from experience. I was a music major and my father was always wanting me to take other courses, especially business. But I taught for a while. Got out of teaching later and my bachelor was just as good as others in the work force.