You need to ground the oscilloscope frame, for safety reasons, which means one side of your probes will also be grounded.
That leaves you with few choices.
The quick way is to just use two probes going into the two oscilloscope channels with the probe screens grounded. invert one channel, and use the A+B function.
You will then see the difference, or differential voltage between the the two channels displayed on a third channel.
If you have cash in your pocket, buy one of those fully floating isolated input differential probe as mentioned in post #4
One other solution might be to hire something more suitable for this particular project.