Just a thought - I have been offering private music lessons for close to 20 years because of the flexibility. I am fortunate to be able to do that from my home studio, and through it all have managed to get a master's degree, work various jobs including one now full time , raise my now 14-year old son, and stuff life that. I can easily tell a student that something came up for a week, etc. There are issues of course with managing a music studio, but they can be worth it! Not just the flexibility but the pay is double to quadruple anything else I do. Obviously I have worked up to a place where I have enough students but you said you could also tutor, so that adds to the pool of prospective students.