Leave them alone. Don't touch the babies, the mom will eat them. Ummm, put in a small box (it they don't already have one) as a nest box for privacy, feed her plenty and try to do as little distrurbing as possible (loud noises, staring in, etc.)
That's what I remember from when mine had babies when I was little...

when my hamster gave birth, dad said to also put a little milk in to to help her feed the babies

Get a small box of dog biscuits - rodents love them, and they're a good source of vitamins and calcium. Leave Mama and babies alone till the babies have their eyes open; after that, you can begin handling them. The babies should be handled every day, so they get used to it and will make good pets. Start looking now for homes for them, because once they're weaned, if you try to keep them all in the same cage, they're likely to start warring with each other. Your pet shop may be willing to buy them; pre-schools and elementary-school classrooms may adopt them, especially if you provide cages.

You do realize that if you put Romeo and Juliet back together after the babies are gone, they'll produce another litter in due course....

my only advice....don't think that your hamster is the nice friendly sweetie that she was before. She's a protective momma.
And they bite. Hard. So says the voice of experience! :)

Pretty much your job is to feed her and watch 'em grow. That part is fun! They are so cute when they are teeeny-tiny!

I miss my hamsters. Hamsters is nice.