Human users are often the weakest link in cybersecurity, with a large percentage of security breaches attributed to some kind of human error. When confronted with everyday cybersecurity questions - or any other question for that matter, users tend to turn to their search engines, online forums, and, recently, chatbots. We report on a study on the effectiveness of answers generated by two popular chatbots to an initial set of questions related to typical cybersecurity challenges faced by users (e.g., phishing, use of VPN, multi-factor authentication). The study does not only look at the accuracy of the answers generated by the chatbots but also at whether these answers are understandable, whether they are likely to motivate users to follow any provided recommendations, and whether these recommendations are actionable. Surprisingly enough, this initial study suggests that state-of-the-art chatbots are already reasonably good at providing accurate answers to common cybersecurity questions. Yet the study also suggests that the chatbots are not very effective when it comes to generating answers that are relevant, actionable, and, most importantly, likely to motivate users to heed their recommendations. The study proceeds with the design and evaluation of prompt engineering techniques intended to improve the effectiveness of answers generated by the chatbots. Initial results suggest that it is possible to improve the effectiveness of answers and, in particular, their likelihood of motivating users to heed recommendations, and their ability to act upon these recommendations without diminishing their accuracy. We discuss the implications of these initial results and plans for future work in this area.