The 6CA4 and 6X4 are low voltage and current rectifiers tubes and have little effect on the sound of a device and no noise issues. My advice is to buy several brands new in box and tested from a source like Jim McShane and see if you notice much difference. Antique Electric Supply (tubesandmore dot com) sells the JJ 6CA4 for $11.50 which is probably all the tube you will ever need. AES sells the 6X4 for $13.15. These tubes will impart very little signature by themselves so there is little point in buying expensive or low noise tubes.
The 6DJ8 family i.e., 6922, 7308, ECC88, E88CC, CCa, 6N23P-EV offer a range of sonic attributes and quality levels. In fact there are too many variants to list. These all have very similar operating points and can, for the most part, be interchanged. I use the Russian 6N23P-EV. The 6N23P-EV is a super tube and some even have a little rocket ship depicted on the tube to remind you of their heritage. When I bought these directly from Russia a few years ago; they were about $5 each in lots of a dozen; now they are $20 each when you can find them.
Prices for new old stock 6DJ8 family tubes are absurd and the quality varies wildly. I think that if you have to use these NOS tubes you have no choice but to buy from a known vendor who tests the tubes for transconductance and noise. Starting with a low noise tube, the second most important issue is that the two triodes be matched, if not for transconductance, at least for operating point. Both sections should match when tested for current, for instance, at the same plate voltage and grid voltage.
As for a new tube, you also have a wide selection with the Genalex Gold Lion E88CC/6922 and the Electro Harmonix 6922 as really good choices. If you are more interested in high quality new tubes as opposed to a new old stock, I would recommend Jim McShane (mcshanedesign dot net) as a very reliable vendor who will definitely not try to baffle you with thermionic voodoo bullsh*t. He's a straight shooter more interested in selling high quality new tubes than super rare, exotic, and expensive collector's items.
From Jim's we site:
For the "finicky" gear out there you can request my Genalex"Select Grade" 6922. These tubes are tested for:
Transconductance
Gain
Plate current/DC balance(twice!)
AC balance/section balance (twice!)
Noise/microphonics (twice!)
Shorts
Grid current ("gas")
In addition, these tubes receive a special run-in before testing, and are the best of the type out there.