Congrats on the new baby! And if she was on live before, its definitely best that you keep her on live for a while. As for the technique, I know people who just toss them in and I know people who hold the animal by the scruff with their tongs. It's just a matter of personal preference, but you might want to find out how they were doing it where you got her from, so that you'll be sure that she'll understand what's going on a little more.
If it's a baby, and since she's new, you might want to keep her hides in there because she'll still be feeling a little insecure. Maybe to give her some space you could remove her water dish instead of her hides until she's settled in.