How to lower noise floor through mods?


I have an older tube preamp which I like very much. It has something of a lush "romantic" aspect which I quite enjoy, and while it is not 'noisy', it is not the quietest pre out there. In addition, I think that one might be able to maintain the 'romance' but improve the transients a bit. I have done a fair bit of research on replacing the caps (which I should do anyway because of age probably), but I am wondering what mods would lower the noise floor.

Will new/better caps help? Resistors too? Tubes? Is it new wiring for the point-to-point parts?

Modders & Manufacturers, please toss your 2cts in! I would love to hear your experiences and wisdom. What will keep the 'romance' and euphony while lowering the noise floor and improving transients?
t_bone
Thanks to all so far for responding.

Sns, it indeed is the Jadis I am thinking of working on. I am not nearly as comfortable with DIY as I would like to be.

Atmasphere, thanks for chiming in. The pre is a Jadis JP80, and it sounds wonderful as is, but I can hear where it is a bit off the mark vs other things I have had in my systems so want to try that. Without having schematics, I am a bit worried about going in myself (actually, with schematics, I am a bit worried about going in myself), but in this thread I am trying to learn which approaches will get me what I want. The pre has a separate power supply, which is beefy, and I have never felt it to be lacking. I think it is perhaps the main strength of the pre. I do not know how it is regulated. The newer versions are tube-rectified. At some point in the past, the power supply was SS. According to Arthur Salvatore's website, that started in 1990 and lasted a few years. Mine is a single-digit serial number, which would suggest it was before Jadis went SS, but since the aluminum cylinders in the back of the PS have covered tops, and I have not looked under the deck, I do not know if they are caps or completely enclosed tubes (and I am too much of a circuitry innards neophyte to have any confidence about what I see other than transformers, glowing tubes, resistors, and clearly marked caps (and, of course, I can usually tell what wire is)). Are "filter caps" the output coupling caps? And last question, would you suggest using a small cap in parallel as a shunt cap, as some do?
The "filter caps" are in the power supply. If you can still find Black Gate/Rubycon caps in the exact value that you've got in your pre now: They'd be a much higher performance replacement than the originals. I absolutely agree with Atmasphere- If your pre has tube rectification: Ignore my suggestion to go to FREDs.
I've investigated replacing the electrolytics in my Cayin power supply with a better electrolytic. Problem is the Black Gates/Rubycons are too low voltage rating (at least I've not found a source for higher voltage) for use in power supplies. I suspect he probably has decent electrolytics in his power supply, likely some better model of Nichicon, bypassing/shunt with film caps may be his best bet. I'm going this route in my power supply.

I believe coupling caps are the biggest bang for the buck, sonically speaking, these should be somewhere near the signal tubes. Not a job for the novice, find an experienced tech.
Have you thought of adding a power conditioner to your system? This made a big difference in my system.
There's some gear that responds extremely well to balanced AC. Had a SFL tube preamp that was a completely different beast when given 60/60.