A lot of wired earbuds especially if you're willing to spend the kind of money you would spend on wireless earbuds come with very nice carrying cases. For cheapos there's really cheap like silicone wraps that are super easy to use. It's a little piece of silicone with a few little cutouts that makes wrapping the headphones really easy and keeps them relatively protected and tangle free. I put headphones on it every day for years and they've kept just as well as the ones with the fancy carry cases. In any case you can get much better sounding wired headphones plus the cheap carrying case for cheaper than any just as good wireless headset out there . And even if you're not looking for a deal out of wired headphones. There is always a better fidelity over the microphone and sound quality than most wireless earbuds in my experience. Especially if you're spending the same kind of money you are on wireless earbuds. And the only inconvenience comes at the lack of a headphone port. Putting them away is not this hassle people make it to be. There is a convenience of seconds with wireless earbuds.

Moondrop Aria. $70/80, comes with a carrying case + detachable cable.

If all of your wired iems broke, you either broke them yourself or were buying very crappy iems.