Thanks mate, your work is deeply appreciated the world over.

Good quality noise cancelling headphones will work perfectly for cancelling out traffic, however they may not be ideal for practicing music due to the way the ANC colours the sound. Plus, you’ll be paying for wireless features you don’t need for this use-case, as most wired ANC headphones (of quality) have been discontinued. The majority of wireless models can also work wired, but need to be charged and powered on.

As others have mentioned, you may well find that a closed back set with a good enough seal will do the trick. Something like Sennheiser HD 200 Pro or HD 569 is a good place to start.