It does depend on your environment. The Logitech microphone is tailored for voice. It has good room noise cancellation and a modest voice bump. You can use it for music performances…
https://forum.audacityteam.org/t/i-get-a-watery-sound-when-removing-noise-in-audacity/15094/45
It has all the USB microphone problems. You can’t ever get very far away from the computer and you can’t use a USB hub.
You shouldn’t use the sound card for an analog microphone. That means you’re stuck with a mixer or external sound card of some sort. We reviewed some here.
https://forum.audacityteam.org/t/sound-card-reviews/8375/1
The all time favorite for rock voice is the Shure SM-58. We have two of them in the company.
http://www.sweetwater.com/store/detail/SM58/
The down side of those is they require a mixer or external amplifier. I’ve been using the Peavey PV6 and I’ve been happy with it. I’m also using a Mac, so I use the digital converter built in. There is a Peavey version with a USB converter inside.
He was looking for a music microphone, but Bruno was the lead in the longest post on the forum. Lots of good microphone and connection info if you feel like digging through it.
https://forum.audacityteam.org/t/budget-usb-mic-for-classical-guitar-recording-needed/12367/1
The headset is not a bad idea. It doesn’t matter which way you turn your head – the spacing remains constant. We did discover many headphones with terrible microphones. We settled on the Labtec analog series. One department is using USB headsets and they seem to be happy.
Koz