Certain example embodiments of this invention relate to adhesive-based pest traps that can be used to trap pests (e.g., rodents such as rats or mice, cockroaches, spiders, snakes, etc.) trying to escape from a toilet or the like. For example, a trap may be disposed in, over, and/or around a toilets bowl. The pest traps may be supported in the toilets bowl by a plurality of arms and/or legs. An adhesive may be provided to one or more surfaces of the trap, e.g., so that pests traversing such surfaces are likely to become stuck thereon. In certain example embodiments, the adhesive may be baited to attract one or more particular types of pests. A poison also may be targeted to one or more of these particular types of pests in certain example embodiments.