It's a good idea to do so if you do not have a fence and sometimes even if you have a fence.
As for puppy teeth, Hot Rod was fixed at 6 1/2 mos and had double teeth by that time. He wound up have 14 teeth removed. We had bloodwork on Friday previous to his neuter and the vet told me to wrestle some toys with him over the weekend, lol.
Just as an fyi, I would talk with your vet about pain meds for after, especially if they wind up have teeth removed. I wish I had as he didn't get any pain meds.
The vet said that he should need them but I think he was in some pain and discomfort.
Best of luck with your little girls.