Chris,
For years now I have used the drill chuck that made the tapping hole to grip the tap, taper version [ #1 first of course]
Insert the tap into the hole, apply pressure on the quill and rotate the tap using the chuck key to feed it into the hole, keeping the pressure up to help it.. After a few turns, I lock the quill, undo the chuck and now, as the tap has started truly vertical, transfer the job to the bench vice and complete the tapping in the normal way.
A wooden wedge placed strategically in a table slot will stop the job or vice it is mounted in spinning while the first few engagement turns for the tap are being made
Simple, low tech, quick and effective
Regards Brian
Edit. Ian beat me to it, he clearly types faster than I do
Edited By Brian Wood on 16/07/2020 18:13:33