Mass will stay the same wherever you are because it is the amount of matter you have. So, your mass will still be 60 kg on the moon.
The acceleration due to gravity on the surface of the moon (its g, if you will) is 1.62 m/s^2. Since weight = m*g, your weight on the moon will be (60kg)(1.62 m/s^2) = 97.2 N, or about 21.85 pounds.
hope this helps :)