I have a PhD in Neuroscience but honestly your study program will depend heavily on what country you are in. See if you can contact a guidance counsellor at your university, they should be able to help. Depending on what interests you (molecular/electrophysiology/computational neuroscience or whatever), what you need to study will change.

My advice from the perspective of a researcher is that no matter what field of neuroscience you're heading into, make sure you get some physics/engineering/mathematics/programming study in. The days when you could just be a biologist and be competitive in research are swiftly becoming history.

If you like chemistry (I did, I was a chemical engineering undergrad) then you will probably be drawn to more molecular-level research--so biopsych might seem too high-level and annoyingly vague at times. I now work in an electrophysiology lab (in a bio phd program) and love it because it is quantitative but also very cool biology and you can get down to real biophysics and up to whole circuit function in one lab. I agree with lpokebrains you want to get a firm handle on math as well for any type of research and you don't necessarily need to get your degree in neuroscience, chemistry is fine and you can work in a neuro lab, though a few neuro/biochem courses will help you. Good luck!

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Thanks a lot guys! This really did set my mind at ease a bit. You make it sound like I can stick with chemistry now, while taking other classes I'm interested in, but then I'll still have choices when it comes to higher education and a more specific field of study.