I believe it is both of our responsibilities, what are you're opinions?

I believe that when it comes to birth control it is both's responsibility. I believe that both should take precautions, and not just one or the other. In the past I have taken birth control,but after awhile I stopped because it made me feel sick and I wasn't with anyone or having with anyone, I would however reconsider or go to the doctors to start taking it again. My bf tells me he doesn't like condoms,and feels that once I am on it again that means we will not have to use them when we start having , I'm not worried that I would get anything from him but I kind of feel pressured to start taking it again, like it is only my responsibility, he wants to go to the doctors appt. with me and me there for me and everything, but still, I feel like I am the one be held responsible here, I don't like taking birth control, but I would do it because I have a responsibility too. I feel he should also take responsibility. Am I wrong for feeling this way? Also, I'm not sure how to explain how I feel to him, any advice as to how to do it or should I just come out and say exactly how I feel? And because I know some people will probably ask I am 21 and he is 22.