If you are wanting a career in animal care as a zookeeper then you need a 4 year science based degree with 2 years hands on experience to be considered for a position. So while getting your degree you should be volunteering at your local zoo and working to obtain internships in the summer at other facilities, possibly across the country. AZA.org is a good place to see internship and full time positions at AZA accredited zoos.
If you are more interested in the research aspect, then most universities have research labs that need undergraduate and graduate students to assist with their projects. Just know that ultimately, you will need to obtain higher levels of education to have a full time career in research, as well as veterinary, and conservation.