You might want to start with a Class D amp, because they can output a lot of power for relatively small cash outlay, and are relatively small and don't generate much heat.. There isa lot of controversy here, as in every audio topic, about the quality of Class D amps vs more traditional (A,AB, B) amps, but the higher end companies that make them have good reputations. If you decide that they drive the speakers but you don't like the basic sound, you can always upgrade. I would look at Wyred For Sound or NeuForce.
Another thought--try to get a AV Receiver used, for next to no cost. For example, I just replaced a perfectly fine Onkyo AVR from 2009 that outputs 130 watts in two channel. I needed a new AVR that would work with my new 4 K TV. My Onkyo has no resale value but you could pick up a high powered one on Craigs List or something and play with it while you determione how much power the speakers really need in your room. After you experiment, upgrade accordingly