For this project you may use the citation style of your choice, as long as you use in-text citations (rather than footnote citations). Either MLA or APA would be a good choice.
Students often worry that if they cite too many sources it will look like they did not have any ideas of their own. However, it is more likely that citing sources will impress your professors--they will see the amount of research you did, and how you integrated other people's ideas with your own.
Visit North Park's Writing Center for help brainstorming, drafting, and editing your paper.