Easy peasy...
Stay with 5V, wherever it comes from. Be careful with computer supplies though as they sometimes have MINIMUM load ratings and wont work unless sufficient current is drawn from them. You would also have to link the auxlliary 5V and start-up wires together as these power units are normally turned on or off by the motherboard.
To make them modular, you 'daisy chain' them. That is, you have two power connectors which are linked directly together so what goes in on one comes out on the other, this lets you carry the power from one array to the next by linking them with a power cable. You tap into the power at each module with a resistor and LED for each light you want. Don't be tempted to use one resistor and several LEDS, it works but isn't reliable, instead use a resistor in series with each of the LEDs. A typical ATX supply should be able to run about 1,000 LEDs but obviously it varies from one model to another. I would suggest you polarize the connectors as reversing the voltage on an LED can kill it instantly. Alternately, you can add a series diode in each module to block reverse polarity connection. It doesn't make it reversible but it does prevent damage if connected backwards. Take note of the total current, remember that as you extend the chain, the first in line (nearest the PSU) is carrying all the current of downstream modules as well as it's own. Small power connectors may not be able to carry high currents.
Brian.