Just treat it like a motor or relay:-
http://www.thebox.myzen.co.uk/Workshop/Motors_1.html
A single transistor will do.
and what about the 3V side of things
Use a resistor.
you want 2 volts drop with 80mA going through it = 2 / 0.8 = 25R (ohms)
and it will burn 0.08 * 2 = 0.16 watts so get one that is at least 0.25 W rating