A bipolar power supply is probably easier, as there's no AC coupling to worry about.
Start from the beginning.
What peak input voltage and output voltages do you require? That will let you work out the gain, required bandwidth and slew rate.
What load is this going to be driving? Is it going to be via a long cable? If so, the load impedance, will have to match, the characteristic impedance of the cable.
https://en.wikipedia.org/wiki/Characteristic_impedanceGoing from what you've said, you need a fairly fast op-amp. A 12.5MHz sine wave, with a peak voltage of 5V (10V peak to peak) is a slew rate of 392.75V/µs (see link below), and if you want a gain of two, you need a gain bandwidth product of more than double the maximum frequency.
http://www.radio-electronics.com/info/circuits/opamp_basics/operational-amplifier-slew-rate.phpI'd suggest a video amplifier IC, as a suitable op-amp won't be cheap. This is not a simple project. Careful attention needs to be given to layout, otherwise there will be problems with instability and oscillation.