You don't need to take the brifters off to do this.
Simply "lift the skirts" of the rubber hoods and you'll see how the current tape was wrapped. Take some photos before unwrapping.
Personally I like a bit more padding from the corners to thge hoods so I will over-wrap that area, or perhaps wrap some old tape there before covering it with new bartape for two layers. Extra important on thin 80's style bars.
If you're using new tape it will probably be longer than you need so expect to trim it when you feel happy with the wrap job.
My technique is to start at the bottom and always bring the new tape "up the outside and down the inside" which means going around the brifter to reverse the flow ready for the tops.
Ftom https://roadbikeaction.com/how-to-properly-level-road-bike-shifters/