http://www.harborfreight.com/automatic-battery-float-charger-42292.html
Make sure you use the float charger after you fully charge up the battery. The float charger is only cabable to maintain the battery voltage while it's not able to charge a depleted battery to fully charged state.
How do you measure the battery and get the reading of 12.75V? Do you take the measurement before or after you start your car?
If before, the normal range is 12.5v -- 12.66v. Once you start the car, the battery voltage should be around 14.4v. If it's lower than that like 13.36v, the alternator is bad.