The 4.2's are very efficient at 92dB, so don't really need a vast amount of power to get them going, but to make them rock takes something different entirely. They're a 4 way design utilising 6 drivers each, and impedance-wise are 4ohms so are very demanding. With two internal 10" bass drivers each, they need some serious current, and control.
I tried many amplifiers, from AV amplifiers like the DSPZ9 to dedicated hi-fi power amplifiers including Krell (which just didn't do what I expected with the KEF's). On a budget, I'd recommend the original Audiolab 8000P's or 8000M monoblocks, which have always worked well with KEF Reference, and you should find the new range will do too. Also, Quad amplifiers work well, a 909 would probably produce enough power for most people. A lot of older Musical Fidelity amplification worked well too - P180's and P270's always worked well with the 104/2's, producing buckets of power, but I always felt they lacked a little control, and produced a sound that was a little too warm for my liking. The new Cyrus X300 monoblocks are pretty special too - I've not heard them with the 4.2's, but after hearing them with 205/2's and 207/2's, they should work just as well with the 4.2's.
In the end I borrowed some Bryston 7Bst monoblocks. Almost 1,000 watts into 4ohms, each. This may sound excessive, but the dynamic capabilities of these monoblocks are truly stunning, and it doesn't matter how much you turn them up, they never change character. Lively (but smooth), controlled, dynamic, and neutral. Through good quality speakers, these amps never draw attention to themselves, and there's a lot to be said for feeling so at ease with these amps because whatever you demand of them, they'll supply it. Likewise the speakers. Every Reference model I've had have taken everything I've thrown at them - it doesn't matter how demanding the source material, nor how hard an amplifier drives them, they just get on with it.
At the time I'd got hold of a few DTS demo DVD's that included films and music, and of you ever want to hear some scary bass, try Insane Clown Posse - I don't think I've EVER heard such low bass so well controlled. If you've seen people's faces light up with glee when they hear their first real AV system, this will do the same for 2 channel.
At the time I couldn't afford them, and ended up buying a 3Bst. Treble and mod sounded fine, not too much of a downgrade, but the bass lacked in comparison. It seemed as though the bass had halved in comparison to the 7B's, although it was still tight and controlled. I think many people would be happy with a 3B, but if you really want to hear what the 4.2's are capable of, pick up some used 7Bst's, or even some new 7Bsst2's - with a 20 year warranty, you'll probably never need to replace them!! The 4Bsst2 is closer to the 7Bsst2 monos than the 3Bsst2 in sound and performance, and this is what I'd recommend as a minimum - a 4Bsst2. Earlier examples will be available on the used market.
I used my 4.2's in a room roughly 5m squared which had a carpeted concrete floor, and they were placed within half a foot of the front solid wall of the house, and I never had any issues with bass boom. Get an amplifier that will control the bass well enough, and you don't really need to worry about placement so much.