Multiple Radios with a single power supply?

I'm trying to figure out the math here and I don't have experience to know what is "possible" versus what is "smart."

I'm looking at populating a ham shack with an HF radio as well as a V/UHF radio but one of the budget items that I didn't properly account for was the power supply (ies). I see all price ranges and manufacturing quality, switched vs linear, etc.

Most of the units that come highly recommended by the community are 25-30A and a couple of hundred bucks. Some have multiple connections which expects multiple devices getting powered from it. You know where this is going...

If my HF radio is rated at 1A at idle and 23A for 100W transmit

and my V/UHF radio is rated at 2A at idle and 13A for 50W transmit

Can I power them both with the assumption that I wouldn't key both mics at full power at the same time from both radios? Or is that a wildly stupid thing to do? You can call me stupid, everyone else does. ;)

I am more than happy to spend the money if that is the smart thing to do but being of a heritage that pinches pennies, I don't want to spend money where it isn't necessary.