Good rat mothers won't abandon their pinks or eat them or any such thing if you handle the babies right away. However, since it is your first litter, you have no idea how good of a mother you have. I'd recommend waiting a day or two before you mess around too much.

Whether or not they'll bite you is a different issue. I've read that even very tame females can sometimes become aggressive when protecting their babies. In my colony, the ones that I've raised since birth have so far shown no tendency in that direction, but the original females that weren't terribly tame when we got them did bite me a few times when they had pinks.