There's probably a library already out there to drive these things, most of the time that's the way it is with these Chinese widgets, you just wire them up and find a library to make them work.
You will probably need an amp, I've used those little PAMxxxx modules before and they work very well, I don't think I ever paid more than $1 for one.
A solderless breadboard is for temporary testing, it's not appropriate for a final build. What issue are you having soldering headers? Perhaps it would be good to spend some time practicing soldering, it's hard to get very far in electronics without being proficient at that. Soldering those huge 0.1" header pins should be trivial.