Hi,
A mantle move is what you often are using on a lip which is vertical or a slab. You try to more or less put your feet on the same holds you are holding with your hands and push upwards.
A bridge move means that you try to push upwards in a corner where both your arms and feet bridges the corner. (In fact, I have never heard anyone use the term bridge move, I just thought that that would be the best description ;)
Help with translation