I understand that a broad and intricate knowledge of the basics are important, but I'm not at all sure what basics I should start with. My idea was to read through a general chemistry textbook, but it's turning out to be somewhat overwhelming. I'm looking to pursue a career in organic chemistry (organic chemistry textbooks are too specific and don't really allow for a broad understanding of the subject matter).
I'm already taking chemistry courses at a university; the aim of this question, to restate, is to help me figure out where I should be concentrating in my spare time.

