While I agree Dyn's love lots of good clean current I had no problems driving my C1's and later C1 sigs with a 70W @4ohm Octave tube integrated. I started with a Bryston B100 sst but found the Octave to have much better 'control' of the music and much less 'dry' sounding. Later I upgraded to the 110W Octave and gained a hair more control. A friend had Sapphires and later C4's sig's also drove them with a 75W@4ohm Octave integrated. Another fried drove his C4 sig's with a Naim Supernait2. They sounded great IMO.
That said you really need to go listen to different amps to hear what sound signature you prefer. I personally preferred a 'warmer' sounding amp with Dyn's. My local dealer sold Sim Audio when I purchased the original C1's and I personally didn't care for that combo. Why - because I found myself listening to and analyzing individual instruments and vocals without hearing the music. Again that's just me.
So I will say don't just buy an amp just for gobs of power.