bolero, if you have the dough, get a couple/few quads for your leben. Sure you can replace the rectifier too (since they're cheap but I didn't notice a change when I swapped mine out.)
Pick a quad set and leave in for a long while 3-6 months. Remember the music you'd be critically listening with (note: strengths, weaknesses - highs/midrange/bass); swap the quad out for the next you're interested in and play the same critical listening music as afore - take and compare notes again.
Again, the KT120s are amazing in the CS600 (enough so that I have another quad waiting in the wings). I'm just enjoying the music these days without the urge to roll for a long while.
I haven't had any of Jim's recommended ones in my amp with the exception of the rectifier: 6CJ3 GE NOS.
The mixed 6CS7 quad and 6L6GC-STR's sound interesting tobesure and yes IMO would be better than the original CS600 tubes.
Enjoy