Disclaimer: not at all an expert on this, this is just my thoughts based on what i’ve heard, please correct me if i’m wrong
Normal power supplies are CV, so you don’t have to worry too much about that, CC supplies are a bit more niche
If you want to be able to run the amps at full power, you’ll have to add up all their rated powers and find a psu that is rated for that, it could also be wise to go with one slightly larger as well, as power supplies tend to get a bit noisy when they’re close to the limit (the voltage they give out gets noisy that is) which reduces the audio quality
what are the input for the amps? You say they have built in rectifiers and everything? Can they be aupplied by mains directly? What is the max input voltage?