Protip: first, check that what you think is ground, is actually ground.
At AC, ground can bounce all over the place. Probes don't have particularly good common-mode rejection, partly because of the ground clip (in bad cases, yes, even a short spring won't save you), and partly because of the lossy shield on the cable.
Easy way to tell: connect the probe tip to the ground clip, and probe ground with that. If you see noise, it ain't "ground" (relative to the scope chassis).
You can improve CMRR by wrapping the probe around big ferrite beads, but this can only do so much.
The best approach is to find a point which
is "ground", and track backwards from there to the signal you want to probe.
Remember, most of all, that voltage is a difference. The scope measures the voltage at its connector. What you do to get that voltage there, is up to you.
Tim