Super!
2 things I would add is that even a dynamic microphone will do. The Shure SM58 has been a standard for live use since long and has been used in even recordings of some of the top most artists.
And the difference between choosing a closed back or and open back headphone. Closed back is good for tracking since it doesn't allow what you are hearing inside to be heard outside the headphones. This helps when you are recording in a microphone with say a click track and the audio track in the background. If you have closed back headphones, only your voice will be captured and the 'bleed' from the headphones won't.
I hope it made sense 😅