sweat solder

Is there a preferred method of connecting pipes and fittings? I am familiar with ProPress, Sweat, NPT threaded, and sharkbite and FasTec. Is there any good reason to choose one over the other? or any reason to stay away from any of them? What is most popular among plumbers here in the US?

In my first post I forgot to ask the question. Can I sweat a copper fitting to the output of the valve pictured? I don’t know if there is any plastic in the diverter and I wouldn’t know how to remove it if there were. I was told to use 1/2” copper for shower head for more volume. Is that true...