I wouldn't put the dryer sheet in, that way there will be less chemicals in the lint. When you get the nesting material, you may also want to pick up a bag of grass hay. Try and get the softest looking kind that is available. Do you not normally feed grass hay to your rabbits?
You'll know within a couple days if the babies are all doing ok, and the mom and dad should be able to adjust to being separated. I'm sure that it was quite the shock to see squirming little babies in there. Baby bunnies are lots of fun to raise. I'm sure your girls will love the experience
If all goes well, and the babies do fine. Then you just let mom feed them each day. I wouldn't let any one outside your family, handle them til they are at least 2-3 weeks old. I always liked to wash my hands right before handling my babies, just to make sure to limit the chance of passing some sort of bacteria over to them. Babies need to be stimulated to pee. Usually the momma bun does it, but sometimes my momma bun missed a few, so I would check them each day and gently rub a dampened warm qtip near their genitals to help stimulate the peeing in case the momma missed them, when I did the daily check to make sure they were being fed. I did this for about the first week. Then at 10 days they begin to open their eyes. and at 2 weeks they begin to venture out of the nest box. That's when I clean the nest box out and tip it on it's side and put a handful of hay in the bottom side of it. You tip it on it's side so they can still snuggle together in there, but so they can get in and out easily. If you don't tip it on the side, at that age the venture out and then can't get back in. They will also start nibbling on food at this time. As their digestion gets used to solid food, they can sometimes get a poopy bum, so you will want to check their bum once a day to make sure it's clean, and to clean it off if it's not.