I'm very new to Oscilloscopes and EE in general and it's safe to say that I know just enough to be exceptionally dangerous to everybody and everything involved.
It is good you acknowledge your limitations and even better that you present yourself here with such an introduction.
In regards to working with mains - whether it's 120v, 240v or whatever - always consider it lethal and always consider it capable of delivering chassis melting power. This is basically because that is exactly what it can do.
I have been an electronics hobbyist for over 50 years and I have yet to probe a mains circuit with a scope. I prefer a properly rated multimeter, some observations and exercising the grey matter. So far, I have been able to avoid such a risk, despite being sorely tempted on one occasion. Such is my recommendation: stay away from mains wherever possible. (It's a lot harder to zap equipment or yourself if you don't come into contact.)
Having said that, I will concede there are times when you need to know what's going on. In those instances, I would strongly recommend the differential probe solution. These are designed for the express purpose of dealing with this type of situation, providing the safest option to both person and property. Yes, they can be pricey - but they are still cheaper than a funeral.
IMO, an isolation transformer should not be considered a safety measure. Its purpose is to ensure operation of a device is unaffected by the circuit in which it is placed (well, as much as possible). A side effect is that you have less constraints when attaching a scope - but, at the same time, you must be aware how you connect the scope to the DUT. Attaching the "ground" connection of the scope to a point on the DUT which is at a significant voltage could render the chassis energised with the same potential (but opposite sign). This creates a far more dangerous scenario.
Of course, it is possible to deal with the dangers directly - but taking the steps to avoid them will yield greater safety, especially when you have those "oops" moments.
Take care.