Ian
As Adi says many different set ups. But common approaches would be
Singer and Acoustic and single mic - condenser
Singer and Acoustic two mics - 2 dynamic or 2 condensers
I normally play electric and started with a condenser for singing but as they are sensitive it picked up a lot of room noise and the “acoustic” sound of the electric. So I switched to dynamic.
Other set ups - singer and guitar using webcam only or phone.
It can be that simple but for sure your mileage will vary !!
Why not sit in on Open Mic 11 and see for your self. You can sign up for the audience here !
Cheers
Toby