Feeding in another enclosure is unnecessary and added work. I used to feed my snakes in other containers because I was a worry wort about them swallowing bedding...but then I thought 'wait, snakes can digest BONE. A little wood isn't gonna hurt'

As has been said, if you get your snake(s) on a regular feeding schedule, meaning feed on the same day or at least the same interval of days every time, then they'll learn that that day means food and will be sweet and gentle the rest of the time (usually).

You'll get better results all around if you just feed in their home enclosure. And if you're really worried about bedding, put down a piece of cardboard or something when you feed.