I'm not sure if there's such a thing as "the" best (general, I'm assuming) topology textbook. I learned the basics from the first (general) half of Munkres, which I liked. I found that later, when I took abstract real analysis, I really liked the concise but still relatively comprehensive treatment in Folland's text on real analysis (Chapter 4). Of course it's not Bourbaki's General Topology or anything, in terms of coverage, but I still really like it. Incidentally, I also like Bourbaki's General Topology (at least the first volume, which I'm more familiar with).
