There are TONS of different birth control methods, and there's definitely going to be one that fits your particular lifestyle and needs. I would check out Planned Parenthood's website. They have exhaustive details about all of the different methods as well as a questionnaire that may be able to suggest the best options for you. You could also make an appointment with them for cheap/free and a doctor could give you their personal advice for your particular situation.
I personally have been on Ocella/Yaz for ~ 7 years (since I was 17 and I'm 24 now) and have nothing but good things to say. However, that's just one of the many pills that you could try, not to mention all of the other non-pill options there are out there. There are definitely risks, but to me those risks are nothing given the benefit of avoiding pregnancy (and when I compare the risks to those of other common medications). I don't plan on having children ever, but I want to avoid tubal ligation (or a less-invasive permanent procedure like Essure) til I am in my 30's, just to be sure. Even if I were sure now, it'd be really hard to find a doctor willing to perform a sterilization on a woman who's less than 30 and who's never had a kid.
In closing, I'd like to add a few more things:
a) There's NOTHING wrong/shameful about being sexually active.
b) Everything everyone tels you here is based on their own experience. It says nothing about how you'd react to the same birth control method and what you should do.
c) "Is it paleo?" is not the question to be asking. That would certainly simplify things but it's not going to lead you to the best answer for you! The question to ask is "Is it a choice that maximizes the benefits/minimizes the costs for me personally as I work towards my particular life goal?"