Don't drag the pup. But I don't think that'll be a problem. She'll naturally want to follow you around. Use toys, treats, and your best high-pitched "oh what a good puppy!" voice to make yourself the center of her world.
Try using a command when you go to get up and move. That will help later on when starting leash work and heeling. When you go to get up, use a high pitched "happy" voice and say "Let's go" or whatever you want to use. It will help to warn the pup that the "team" is ready to move so she doesnt get yanked in the direction as you get up. Further down the road, when you start doing walks, using the "let's go" command will get them excited to follow you making the walk training go smoothly.