Image Source: Picking Your Research Topic IS Research by NC State University Libraries published under a Creative Commons 3.0 BY-NC-SA US license.
Remember: The research cycle for a review is NOT linear, it is cyclical! Going back to the drawing board and starting over with a new research topic is normal. Give yourself enough time to account for this process.
TOPIC Choose an initial topic and begin exploring the literature to see what has already been published. Is there a lot of literature on your topic or very little? Who are the important scholars in your field? Is the scope of your topic too narrow or too broad?
RESEARCH Gather scholarly sources by searching databases and utilizing library resources. (Don't forget, librarians are here to help you throughout this process!)
CITE Save the citation information for any and all articles you may be interested in. For more substantive research, utilize EndNote.
ENGAGE WITH TEXT Read, take notes, and analyze.
WRITE AND REVISE Begin grouping the literature into themes and see how your research fits in. Write your review a little bit at a time, don't try to cram it all in one session.
Source: Picking Your Research Topic IS Research by NC State University Libraries
This video by the University of Melbourne concisely explains how to evaluate sources and why certain sources have more authority. Click the button to play at the "Evaluating Sources" chapter.