You don't say whether finances will be a big concern. But unless you get a lot of scholarship or grant help - or have very well off parents, it is likely to be an important part of your decision. If you are looking to save money, you might consider 2 years of local community college and then transfer. I know that Florida has made it very easy and cost effective to get an education that way. But I am not sure if it would be as easy if you are planning to transfer out of state. Out of state tuition can be really expensive! And credits may or may not transfer. But it is something to consider when seeking advice from your counselor.
It sounds as though you will need a lot of science (and a fair amount of math). As long as you continue to take lots of those courses through high school and the first 2 years of college, you will keep a lot of options open.
A couple of options to consider is whether you would be interested in animal husbandry / science instead of zoology. Would you have any interest in learning about and working with various kinds of farm animals?
Or do you think you might want to start your own animal related business some day? If so, business courses are at least as important as zoology related courses. Most animal business owners are more likely to lack business skills and knowledge than they are animal skills.
Remember that, generally speaking, most or all of your first 4 years will be more generalized zoology if you go that route. If you were interested in herpetology, for example, you wouldn't get very much of that specific subject until grad school. It can seem like a very long time of studying general subjects before you get to study mostly just what interests you. It just depends on how excited and motivated you are.