I just wrote a trading course where the use of Bollinger bands is the central core of the method.
The reason I like them is because the markets are ever changing environments. We need indicators that adjust with the ebb and flow of these changes. Bollinger bands give us what I like to cal "Floating support and resistance". I feel these are more accurate than standard fixed lines based off of previous turning points.
Bollinger bands are also good because they are both visual measurements of volatility and reliable overbought, over sold indicators all wrapped in one. This means less junk on your screen because you can take the volume/open interest off your chart.