Hairless rat just had babies

I have a hairless rat (not double rex, full hairless), and she just had four babies. I've already separated her and the babies from the other rats I have, but can anyone give advice for taking care of her while she raises her babies? Are there any things in specific I should do for her or the babies given she is a hairless rat?

Note: I do not know who the father is. We adopted her from a mom 'n pop pet shop an hour after they just left her there in a box. This means the rats could be baby hairless, baby double rex, or just normal baby rats.

Also, their current setup is now as follows:

They're in a large cage, on a double layer of thin white soft fabric (nothing their nails can get caught on), with many strips of the same fabric meant for nesting. The mother has access to a bottle, right next to where she's chosen to pile up her babies, and food is obviously constantly available. We live in Texas, so the temperature on average is between 72 and 82, with a ceiling fan running constantly (day and night).

So, any suggestions? Advice? Things I need to know? (Please make your advice on the assumption that we are keeping them all. I don't plan on returning them to the shop, it's more of an exotic pet shop and really, they would just feed the pinkies off.)

Edit: Pictures!

-This is how we found her (behind a box in the back of the cage)

-This is where we moved them (She's checking the new cage during at the time)