So I've done most of my hiking in bulky, heavy hiking boots as I had thought God intended, but recently I've been seeing people recommend trail running shoes instead. Unfortunately, I don't have trail running shoes, but I do have some Puma running shoes, somewhat similar to pic related. Would these work better for me than the boots?

I should mention, I've recently moved from Florida (where everything was flat and swampy) to northern Georgia (where it's much more hilly), so the boots were important there, and I don't have experience on rocky terrain with an elevation change. The particular hike I'm looking at is the Coosa Backcountry Trail in Vogel State Park. I would really appreciate some advice.