Just make sure you replace diodes with the proper type, voltage rating, and current rating.
For example, for diodes used in basic AC line rectification, make sure they have
at least three times the normal AC input from the power transformer. Diodes can take an over-current for a bit of time, but are VERY sensitive to an over-voltage.
For example, if your power transformer is putting out 300V AC into the diode bridge or thereabouts, you better have 1000V rated diodes to assure reliable operation. Why? To protect the diodes from that occasional high voltage spike on your AC power lines. In general most power supply diode failures occur in late spring, when thunderstorms and lightning abounds.
Of course the diodes better be rated for more than continuous current requirements of the circuit too or you will have found another way to cook your amplifier.

I am not all certain that FRED or Schottky diodes are a cost effective improvement in raw power supply applications. The signal in is at 60 Hz, pretty slow. It is pretty easy to throw a scope across the output of the rectifier and see if any high frequency switching noise exists. Normally an appropriate high voltage disc capacitor across the bridge will take care of this very well.
I have yet to hear of any true double blind tests of identical circuits, one with normal silicon diodes and the other changed only with so called premium high speed diodes, being conducted. I have been at this for 50 years. Sugar pills abound in high end audio and cost you way more money that you would believe.
Best regards,
Frank Van Astine