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Academic Search Ultimate is a multidisciplinary database, which means it will contain not only political studies resources, but every other academic discipline as well – so you will need to control and limit your search to your own area of interest.
JSTOR – Journal Storage – is a multidisciplinary database. When you use the “Advanced Search” option you can limit your searches by the “Narrow by Discipline” check-boxes (appropriate choices would include “Political Science”, “Public Policy”, and even “Area Studies”).
A comprehensive index, no login required, that is similar to the citation indexes of Web of Science. Each citation provides a list of its references and a citation count plus a list of citing documents. Limited full text, though there is an open access filter on the left. For more full text and formatted citations, take titles found in Dimensions, log into Google Scholar from the library home page, and search for Dimensions titles there.
Consider the Source is a short essay, and helpful reminder about the various leanings, points-of-view, and biases from which political periodicals come.
Librarians at the City Colleges of Chicago have written this "Resource Guide to Liberal, Conservative, and Nonpartisan Periodicals". It describes and lists in tabular form the political orientation of several dozen journals and magazines.