The tilesets definitely load in Unity. I don't really know Unity, but I was able to get tiles up and running fairly quickly after a little research, and I could draw a simple map with them in a short timeframe. As for templates, I can't say for 100% certain that I know, but since I used default functions to import the tiles, I'm thinking it's probably fine.
This tileset importer was also recommended to me. So you definitely have some options.
