As for buying new cable, what's the best between a Fisher X-202B and a Pair of Klipsch Cornwall II's?
This is unfortunately a question that's impossible to answer in absolute terms, because since the introduction of Monster Cable in the late 1970s, speaker wire has been a very controversial topic.
If you were to ask me, what would I use for this application, rather than an absolute what is best, I would say first look at the length of the runs. If it's about 10 feet or so, then #18AWG lamp cord (1mm2 on the off chance you're in Europe). If much longer, then #16AWG (1.5mm2), but to be honest, #18 is just nicer to work with, so I wouldn't jump to #16 without really needing it. Make sure to buy cable with copper conductors, and not copper clad aluminum which has become prevalent as low cost speaker cable in recent years.
On the amplifier end, you could install crimp on fork connectors, or twist the strands together and tin the ends with solder, so that no stray strands can touch each other and form the tinned end into a hook to go around the screw terminals on the amplifier. On the speaker end, just strip half an inch and twist the wire together, and insert through the holes on the speakers 5 way binding posts.
It's not glamourous, but if you decide to give it a try and start having doubts, why not connect one speaker with lamp cord and the other with one of the existing speaker wires you already own, and see if you can hear a difference.
The reason I am so comfortable with thin and cheap wire in this scenario, comes down to the high sensitivity of the klipsch speakers, the low power of the amplifier, and the high output impedance of a tube amp. All of these conditions together make the system quite insensitive to lightweight speaker cables, and the lightweight cables will make your installation cleaner, put less stress on the amplifier connectors, and cost less. win win win as far as I am concerned.
I have some fairly expensive QED cables that I stopped using in favor of some 1mm2 cable I recovered from surplus power cords, simply because I didn't notice any difference in sound, and the thinner cable is much nicer to deal with.