Because my opinion on the available noise-cancelling and Bluetooth options weeds the list down to be fairly short I'm going to share it. The point of doing that is to potentially help a future reader make a purchase decision.
Noise-cancelling options mostly sound like garbage. They do not represent the music in a way that is pleasing to my ear and I get annoyed with the background "hiss" that many make. Bose, for example, hisses. I can't stand that. They're super comfortable, but almost hurt my ears. Bose is absolutely not the best in audio quality unlike their marketing suggests. Beats is another example of a brand that I stay away from. For the record I have owned a few Beats and I do own a few pairs of Bose head phones. In fact, I still use a decade-old pair of Bose IE2s that I really like. I have the top of the line Bose noise-cancelling IEMs that I can tolerate on a plane when I'm travelling as light as possible. They serve no other purpose than that because they sound terrible. My wife really enjoys her Bose cans. Most of their stuff just isn't for my ears. Just goes to show you that everyone has different ears.
The most under-rated product Apple ever made are the
AirPods. These are absolutely my favorite "convenience-factor" headphones. I love them for phone calls and listening to podcasts. They're okay for music. Steve Job's desire to make music as neutral as possible still shows in the products Apple produces today. These are not noise-cancelling.
For the ultimate in Bluetooth + Noise Cancelling we only have three contenders. Choose any of these based on what's comfortable to you and you will be very happy.
Sony WH1000XM2 (
Amazon link) - not much to say here. They're excellent in comfort and do a very decent job in the sound quality department. I've heard they're not the most reliable with the touch controls, but that's a small price to pay.
Sennheiser PXC 550 (
Amazon link) - I own these. I tried them side by side against the Sony's and found the sound quality to be better in these. The sound is highly customizable in the included app. I have yet to find the bottom of the battery in them. My only gripe is over the size of the ear cups. Albeit insanely comfortable, they're just a tad small for my ears. I have to adjust them from time to time. The touch controls are fantastic. They always work.
Nuraphones (
Amazon link) - I want these. I have not tried them, but have heard very good things from people who share my same tastes in audio equipment. In terms of comfort it seems to be 50/50 because these are in-ear monitors that are also traditional over-the-ear headphones. By separating the inner part of your ear from the outer part they're able to do some incredible things with bass. Outside of that these things "read" the inside of your ear to figure out how to tune the sounds to be most pleasing to you. During Amazon Prime Days they were $100 off and I regret not taking advantage of that discount.
This is all my opinion. Your mileage will vary.