Depends entirely on what you're looking for. If you are searching for things from peer-reviewed journals, you need to go to Google Scholar, or better yet, go to commercial databases supplied through libraries. If you are not in any way able to access a university collection (by visiting a campus library in person, for example), try calling your local public library's reference desk and asking for help with your search. They are very likely to be able to give you an answer better tailored to your needs, based on exactly what you're looking for.
The most important thing to remember is that contrary to popular myth, most of the really authoritative information available via the web is not freely accessible; much of it is in subscription-access databases. Sometimes there are ways to access them other than pulling out a credit card, and in most cases a Librarian is going to be the best person to tell you whether or not that is possible for you.
One possible thing that can help with Google if the issue is that your first-level hitlist is too large; you might try installing YoLink. It's a browser extension that can more narrowly focus Google based on your result preferences.