difference between further and pursue

[kwfine]

If I have finished a fundamental course in cooking at a high school,
and then I go to study an advanced course in cooking at a university.

Which of these sentences correctly describe this situation?
1. I want to further my study of cooking at a university.
2. I want to pursue a bachelor's degree in cooking at a university.
3. I want to pursue further study in cooking at a university.

[Alan]

All possible...