APA Style is maintained by the American Psychological Association, and is mostly used in the Social Sciences, Business, and Nursing.
The current version is APA 7th edition, although the APA 6th edition is still used occasionally. If your assignment doesn't specify which edition to use, check with your professor.
MLA Style is maintained by the Modern Language Association, and is mostly used in the Language Arts, Cultural Studies, and other Humanities disciplines.
The current version is MLA 9th edition, although the MLA 8th edition is still in common usage. If your assignment doesn't specify which edition to use, check with your professor.
Chicago Style, based on the Chicago Manual of Style or CMOS, is mostly used in Literature, History, and the Arts. It is also sometimes referred to as Turabian Style.
The current version of Chicago Style is Chicago 17th edition. If your assignment doesn't specify which edition to use, check with your professor.
Citation managers help you keep track of resources and cite them during the research process. They usually feature browser extensions that let you quickly save resources as you browse the web.
A Word of Caution:
Even the best citation tools make lots of mistakes! Always double-check your citations before turning them in, especially if you use one of these tools.