Harry
If you only have 3 Volts available, forget the white LED!
LEDs are generally current driven and in most applications are fed (with a voltage) via a resistor. The actual voltage across LEDs varies with the manufacturing technology and the colour, its less than 2 Volts for a red LED but about 4 Volts for white and blue ones.
Another thing to bear in mind is that LED usually give out illumination in one direction whereas an incandescent filament emits light in all directions.
I have seen (but not this Christmas) decorative lighting novelties that consist of a two cell battery holder with about 10 lengths of semi-stiff thin green wires each terminated in a tiny bulb. I think they are intended to be entwined in miniature trees as decoration. They would be a very cheap source of ready wired lighting for models.
Ian P
Extra lines removed after posting
Edited By Ian Phillips on 21/11/2014 21:09:09