Do you think these baby bunnies will live?

My whole backyard is fenced in and a mother bunny made a nest in it with 6 babies near the center of the yard. My dog found the nest but didn't dig it up or anything but he was going to soon if we let him outside again. So we decided to move them in a different spot outside the fence. I know if you do move them it's supposed to be around 10' away but it was alittle more then that since the fence was further away. Me and my dad picked them up and they kept crying and the mom was watching.. i felt so bad, and they were so cute :( but we dug another hole and put them all in there with some of the nest on top of the dirt and some over top of them with some grass. I also wanted to try keeping them like buying a incubator and get whatever they need to survive but i heard it's just a greater chance for them dieing without being with their mom. Thanks