If you're after a resource for counters to specific sceptic arguments, https://skepticalscience.com/
is a valuable site.
More generally, if I'm speaking to an audience which I think is going to have more than its fair share of sceptics (say, a rural community), my strategy is two-pronged; one is to present a lot of information about what's been happening in their local area (people find it hard to relate to a 1-degree rise in average temperatures, but they can relate more to the idea that the first 35C day of the season is a month earlier in spring than it was 50 years ago), and the second is to be frank about areas where there is still a lot of scientific uncertainty - in Australia, two examples are what's going to happen to extreme high rainfalls, and what's going to happen to tropical cyclones - because I think being honest about areas where we're uncertain gives you more credibility when speaking about the areas which are certain.
Helps that I'm an observations person; would be harder for a modeller to do that successfully.
And if anyone starts getting into details about specific observation sites and us supposedly not knowing enough about them, I have been known to use the story about how I drowned my car at Kalumburu...