An AC power supply will provide an output similar to the AC at your wall receptacles in your house.
A DC power supply will provide an output similar to what is produced by the alternator/battery in an automobile.
Pick one of the above.
An unregulated power supply (AC or DC) will not have a constant output voltage if the incoming power fluctuates or the load on your power supply varies a lot. These are cheaper.
A regulated power supply maintains a constant output voltage up to its maximum current limit. For AC, you will use a "constant voltage transformer". Not cheap and pretty big. For DC, you will probably need a "switching regulator", or a cheap AT/ATX computer power supply.
Pick one of the above.