Since HDR does not seem to be so popular here, purely for explanation and NOT intended as criticism, tone mapping an image requires at least three shots. The intent is that each shot, which is bracketed, captures some detail that the others could not. The three (or more) are combined by tone mapping the image. I have Topaz, and it can produce HDR like images, but you can't extract details from very dark areas that never had the detail to begin. Nor, in very bright areas can you reclaim detail that was washed out. Nice photo, none the less!
I have never tried this myself as I found some examples too much and just not my cup of tea, but after seeing your pictures and how 'natural' they look I am going to give it a go. Some lovely pictures there