If they are close to hatching I would think you'd want to make sure they aren't being turned. I think your best bet is getting in touch with a wildlife rehabber. You should be able to search online for some that are in your area, if you can't find anything the local animal shelter might keep rehabbers numbers handy (the shelter I used to volunteer for did). A lot of rehabbers have raised lots of baby birds and will know how to take care of them well and prepare them to be released back in the wild when they get old enough.
If you can't find a rehabber there are guides on how to raise baby birds like robins, it is a lot of work though. They should be eating every 15-30 minutes throughout the day and you'll have to hand feed. I believe baby robins can have dog food that has been soaked and softened, I'd definitely try to get in touch with a rehabber though as they will know the best diet. You'll need to keep the babies warm when they hatch, I would think they might do alright in the incubator, they will be bald and not able to move themselves to regulate temperature like a baby chicken chick would.