The tremor in the pedal can be several things, really, but I think it's worth differentiating well before you spend money. If the ABS is activating it's normal to feel those pulses, especially during emergency braking or on wet ground, so it's not necessarily a problem. Now, if this is happening every time you brake normally, then it could be a warped rotor, uneven brake pad wear, or even a faulty master cylinder.
Jack up the car and take the wheel off to inspect if the rotor is actually bent or if the pads are worn in a strange way. You can see quite a bit already from there. If you find out it's just the ABS working normally, you're good. But if you confirm a problem with the rotor or pads, don't leave it sitting for long, because pulsing brakes mean the system is working irregularly and that compromises safety.