I love bone conduction headphone. I am currently using the Aftershokz Opencomm. The good thing is that they don't obstruct your ears, and you maintain full awareness of the outside world. Great when you are on the streets.
If that't not what you want, and when you are working from home, it is usually the case, then bone conduction headphones are not for you. When working from home, I am using a more traditional headset (Sennheiser Game One), which has much better sound quality.
For the microphone, I use the built-in headset mic, which is acceptable but not great. Best result I have heard on the receiving end is with a dynamic microphone, namely the Shure SM58, which is by far the most popular microphone for live vocals.
Static mics are great in a studio, but most people don't have studios. Dynamic mics do a great job at rejecting background noise, that's why they are so popular in live performances, and that's why they are also great in a noisy room. One logical constraint that goes with it is that you need to put it very close to your mouth, if you are doing video calls, you can't have it out of the frame, you will look like a rock singer ;)