Would this be a good career choice? I am interested in programming and most anything involving computers. I just don't know which field of computers to specialize in and what a computer security specialist's job would entail.
Are you good at maths? Cryptography requires lots of it, specifically stuff to do with primes. Of course, you can always learn - but if you hate maths and never want to really touch it then it's definitely not the field for you!
I would say that computer security is an up and coming field. In today's world, EVERYTHING is being transformed into electronic format. Computer security will be extremely important.