I have a pair of KLH Model Twenty speakers. When I recapped and redoped my 17s, I also replaced the RCA connector with 5-way binding posts. I am listening to my 17's now, powered by a Luxman R115 (70 wpc at 8 ohms). I also have two pair of Sixes and one pair of Seventeens. They all sound great. The Model Sixes sound even better than the 17s and 20s. One pair of my Model Six speakers is powered by a Denon POA-5200 (200 wpc @ 4 ohms).
hornbostel's warning about playing them at loud levels is important. But it all depends on what one considers loud. Most live concerts I go to I wear ear plugs to avoid hearing damage. I cannot imagine wanting to simulate those listening levels with an old vintage speaker. Playing the KLH (or any old vintage speaker) at concert sound levels is flirting with disaster.
I use a phone app to measure SPL. My loud listening level is 80 to 85 dB, with peaks maybe 10 dB above that (depending upon genre of music). KLH speakers will last forever at those levels. I have newer speakers that are better suited for those times I want to hear the speakers outside and down the street.
As for the amplifier to use, the general consensus is that more power is better so as to avoid clipping, which is thought to destroy tweeters. I think the M60 would be great with the speakers considering the caveat above about listening levels.