
Shure
SM58
Indestructible live workhorse; but muffled for studio vocals.

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I run HD6XX's with an external mic (a modmic turns them into a great headset). I almost exclusively use them for gaming at this point, but they're phenomenal headphones as well. The HD58X's are excellent as well and easier to drive. Both headphones are around $200 on Drop, give or take sales they have going on. I'm sure they'll have something going on for black friday.
the 560s is good, just slap a antlion modmic on there and ur good to go
Started out with a $20 tonor mic but had connection issues with it, it would always drop out and I’ll beed plug/unplug several times. It also picked up my keystrokes. Went to Samson Q2U with a cheap arm, much better/clearer voice according to my friends. Also got a modmic which does the job but kinda of annoying to deal with the wire.
Dynamic cardiod mics are the way to go here. They can be used with speakers and other people in the room, but you have to "eat the mic," or you'll be too quiet. The pickup range is short unless you crank the mic gain (volume). That's a feature, not a bug, and the reason they work on stages. A pair of Behringer XM8500 (budget Shure SM58), and a pair of interfaces would be a viable path. There are USB to XLR cables with integrated interfaces, making them a super cheap way to go, albeit without a discrete gain control. The Samson Q2U is also viable for XLR and USB, but more expensive. I don't recommend Antlion's ModMic for this setup. I tried it and it couldn't handle room rejection and still created an echo.
Bluetooth audio quality with Mic is not specific to this headset. It's fundamental problem of classic Bluetooth. It'll happens with every Bluetooth headset. It's sort of solved by LE audio. But it's not that popular and very flaky on it's own. Plus LE may have worse audio quality than classic Bluetooth. What we currently have is enough for calls. But surely not for music + mic.. And the best fix is to buy extdernal mic, use webcam mic or something like Antlion ModMic
The problem is, that most mics sound shit when not run through an equalizer. I own a QP and the ModMic, and, If setup correctly and compared, the QP sounds like cheap plastic, with or without eq. But the external one sounds hollow without eq, but excellent with.

Shure
SM58
Indestructible live workhorse; but muffled for studio vocals.

Shure
SM57-LC
Versatile for instruments; needs pop filter for vocals.

DJI
Mic 2
Unbeatable convenience, 32-bit float; but poor Bluetooth audio.

Samson Technologies
Q2U USB/XLR Dynamic Microphone with Accessories
Great value dual USB/XLR; recent price increase noted.

Shure
SM7B Vocal Dynamic Microphone
Professional vocal sound; but expensive, needs external amplifier.