sounds as tho you really do have your hands full right now! Three little boys are a joy and a lot of work!
Before you make any serious plans to go to culinary school, there are a couple of things you need to do and to consider.
1. What is it you want to do with that degree/skill after you attain it?
2. (but even more important) is that you need to work in a professional kitchen before you make the time and money commitment to culinary school. Cooking at home, even for large groups, is nothing like the pressure, heat, long hours of a professional kitchen. It is a proverbial pressure cooker.
If you have never cooked in a professional kitchen before, you may have to go in as a dish dog. That will still give you the perspective you need to know if this lifestyle is for you.