Tube recommendations


Hi all
The phono stage within my pre currently uses these 3 stock tubes - Sovtek ECC83, Electro Harmonix ECC81 & ECC88 (I think it's Tung Sol).
As I'm new to tubes which tubes would you recommend to be a significant  upgrade?

Thanks 
Rich

128x128infection
I  am a tube roller myself .  I just got an old Antique Sound Labs 845 SET integrated with multiple 6SN7s and a 6L6GC or KT-66.  I rolled all of the except the power tubes (845s) but I am seriously looking at replacing them.  I know my tubes pretty well and figured out which combination of 6SN7s would yield the sound I wanted. 
I agree that you should listen to your phono stage to learn what your baseline is.  You never know you might be happy the way it is.  You should really know what sound you are seeking as well/  Unfortunately in your situation you need to find tubes that are dead silent. Truly silent tubes that are fairly old are not that easy to find. Phono stages pick up and magnify the smallest of signals and do the same with any noise that is present.
The other matter is knowing where you can stretch things .  For instance my favorite 12AX7 or ECC83 is neither.  It's a 5751, however 5751s have lower gain than a ECC83.  If you are only using MM cartridges you might get away with that roll.  If you need all the gain you can get then you can't. If you want to keep the sound sound clean and clear then Telefunken is a good choice, some would advocate for current production.  If you want to warm up the sound then try to find a Blackburn Mullard from as early a period you can find. There are several other levels in between.
  One of the best 12AT7 or ECC81 was  made by Brimar it's a short lived sub brand, premium tube, they  called Trustee Brand and the ECC81 tube was numbered 6060, they are still available in the second hand market.  Andy doesn't like Brimar so don't tell him I told you that.  They are excellent tubes in MHO. 
The most difficult and expensive tube you will be chasing is the excellent E88CC or 6922.  They are expensive , if you like a clean crisp sound try to get a Siemans or Tlefunken.If you choose to go with a pro like Andy at vintage tube services be prepared to spend some money.  Another excellent tube pro is Brent Jesse at Audio tubes .com (he is on vacation) There is another great pro tube seller who will generally be less expensive - Jim McShane find him on audio asylum at McShane Design.  I am not affiliated with anyone yada yada yada,
Excellent comments, @mechans .
Very true about Andy and Brimar, he's knowledgeable and honest, but there are certain tubes he won't sell.    
I placed an order recently and went elsewhere for the Brimar I wanted. Really outstanding tubes.

@mechans  thanks very much for the info, that is extremely useful.

How much are Brimar tubes?

@infection , Brimars are not as warm as Mullards, that's why I like them. What makes Mullards so special is that adding a premium NOS can make music sound holographic when combined with the right set of tubes. (these are the expensive Mullards).

Brimars have VG high and low-end extension, very natural sounding. I think they are best when used in the preamp line stage or as input tubes in an amp.
These added some warmth to my system without rolling off the highs...
https://www.upscaleaudio.com/collections/preamp-tubes/products/brimar-cv4003-12au7

The 12AX7 Brimar goes for about $120 to $150 each. But the best is a CV military type for about $150.

A problem with tubes is that you can not stop trying different tubes when you're realizing how good those vintage tubes are. It's an addiction. So don't expect that you will buy the right tube, you will buy many of them and they are different from each other, they are all expensive.