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Earphones that actually block sound are far superior to noise canceling headphones that degrade the sound quality of whatever you're listening to.

I've tried the Bose QC and the Shure, and IMO the latter is better at removing ambient sounds.

The Shure does not use active noise cancellation like the Bose, but I think it is more effective simply because it fits snugly in your ear like a set of ear plugs. (It's also more uncomfortable because of that.)

Combine them with 30dB or better earplugs. If you can still hear things that are bothersome, play some music or pink noise.

Note that earplug use can cause earwax buildup. There are a bunch of home remedy's that can help. Talk to your doctor about options.